Let's see: 1/4 @ 200 ft that would be:

1/4 mile = 6040/4 = 1510 ft

1510/200 = 7.55 L/D required.

OK maybe flaps up and best L/D Speed a C-172 might have 7.5 L/D ratio.
Of course that assumes no head wind.

I think I would prefer to be a little bit higher that that in most
cases .

Brian
CFIIG/ASEL