Rajesh P. answered 02/26/13
Common core math expert for all levels of math
Ratio of height to new height = height:new height = 147/30.5 = 4.82
This is a ratio problem and not a proportion problem.
Ratio is the answer obtained by dividing two similar quantities (quantities with same units). We use symbol : to specify ratio.
Equality of two ratios is called proportion. We indicate that ratio of a/b is same as ratio of c/d as follows.
a/b=c/d or a:b = c:d
In a proportion problem, normally one of the 4 variables is unknown and we can solve for it as follows.
e.g.
3/4 = x/12, find x.
3/4 = x/12....multiply both sides by 12
3/4 * 12 = x/12 * 12 ....simplify
3 * 3 = x
x = 9