Finding the Fourth Proportional to 132.14, 197.99 and 117.02
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Solution
The fourth proportional to 132.14, 197.99 and 117.02 is: 175.34
Step by Step Solution
- Step 1: Write the proportion equation
132.14 : 197.99 = 117.02 : x - Step 2: Convert to fraction form
132.14/197.99 = 117.02/x - Step 3: Cross multiply
132.14x = 197.99 × 117.02 - Step 4: Simplify right side
132.14x = 23,168.79 - Step 5: Solve for x
x = 23,168.79/132.14 - Step 6: Final answer
x = 175.34
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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.