The points F, G, H and I all lie on the same line segment, in that order, such that the ratio of FG : GH: HI is equal to 3 : 2: 4. If FI = 18, find FH.

10

Step-by-step explanation:

    Given line:

              F       G       H        I

 FI  = 18

Unknown:

FH = ?

Solution:

To find the line FH, we use the ratio given;

               FG : GH: HI

               3    :   2  : 4 ; Total  = 3 + 2 + 4 = 9

  Since FI is 18;

FH  =  x 18 =  = 10

FH  = 10

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