Finding the Fourth Proportional to 118.92, 177.84 and 102.02
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Solution
The fourth proportional to 118.92, 177.84 and 102.02 is: 152.57
Step by Step Solution
- Step 1: Write the proportion equation
118.92 : 177.84 = 102.02 : x - Step 2: Convert to fraction form
118.92/177.84 = 102.02/x - Step 3: Cross multiply
118.92x = 177.84 × 102.02 - Step 4: Simplify right side
118.92x = 18,143.24 - Step 5: Solve for x
x = 18,143.24/118.92 - Step 6: Final answer
x = 152.57
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.