the ratio of men to women in a certain factory is 3 to 4. there are 228 men how many workers are there?

There are 304 women and 228 men in that factory.So there are 304+228=532 workers in that factory.

4/3 = W/228      where W is the number of women ...... cross multiply

3W  = 4*228      divide both sides by 3

W  = 4*228/3 =  304 women