Finding the Fourth Proportional to 157.22, 216.97 and 102.07
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Solution
The fourth proportional to 157.22, 216.97 and 102.07 is: 140.86
Step by Step Solution
- Step 1: Write the proportion equation
157.22 : 216.97 = 102.07 : x - Step 2: Convert to fraction form
157.22/216.97 = 102.07/x - Step 3: Cross multiply
157.22x = 216.97 × 102.07 - Step 4: Simplify right side
157.22x = 22,146.13 - Step 5: Solve for x
x = 22,146.13/157.22 - Step 6: Final answer
x = 140.86
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.