Answer :
A ratio can also be written as a fraction, so 1:4 can also be 1/4. When you look at it like this, it's a lot easier to see that all this question is asking for is one-fourth of 360, which is 90. This makes sense because the ration of 90:360 simplifies into 1:4
[tex]1x+4x=360\\\\
5x=360\ \ \ \ | divide\ by\ 5\\\\
x=72\\\\
4x=4*72=288\\\\
360\ in\ ratio\ 1:4\ is\ 72\ to\ 288.[/tex]