There is a recent similar question:
Day/night cycle science help?1
As my answer says, different latitudes on Earth have different daylight/dark night radios at the same time, and any specific latitude on Earth has different daylight/dark night radios at different times of the year.
So getting a specific daylight/dark night ratio all over the planet and during every day of the year could be very difficult.
All planets have some amount of axial tilt or obliquity, which is defined as having a possible range from 0.00 degrees to 90.00 degrees.
If the planet has an axial tilt of nearly zero degrees - the eight planets in our solar system have axial tilts ranging from 0.03 degrees (Mercury) to 82.23 degrees (Uranus) it won't have noticeable seasons and the daylight/dark night ratio will not change over the course of the year. And I don't think that different latitudes would have different daylight/dark night ratios in such a situation either.
But the constant daylight/dark night ratio on such a planet would normally be 1:1 instead of the 4:35 (or 0.114) to 8:30 (or 0.266) ration you ask for.
There is a simple geometric reason why normal stars illuminate half of a planet's surface at any one time.
The planet Earth has a diameter of 12,742 kilometers, the Sun has a diameter of 1,391,400 kilometers, 109.19 times as great. So if the Sun and the Earth were touching, the Sun would illuminate a lot more than half of the Earth's surface at any one time. The farther away the Sun was from Earth, the smaller the proportion of Earth's surface it would illuminate at any moment, But even at infinite distance the Sun would still illuminate at least half of the Earth's surface at any one moment.
So any normal Earth like habitable planet orbiting any normal Sun-like star at any normal distance necessary to be in that star's habitable zone is going to have very slightly more than 50 percent of its surface illuminated by that star at any one moment.
So I guess you should look at my answer to this question Day/night cycle science help?1 and see if you can use any of my suggestions modified for your desired light/dark ratio.