Finding the Fourth Proportional to 132.48, 198.74 and 97.70
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Solution
The fourth proportional to 132.48, 198.74 and 97.70 is: 146.56
Step by Step Solution
- Step 1: Write the proportion equation
132.48 : 198.74 = 97.70 : x - Step 2: Convert to fraction form
132.48/198.74 = 97.70/x - Step 3: Cross multiply
132.48x = 198.74 × 97.70 - Step 4: Simplify right side
132.48x = 19,416.91 - Step 5: Solve for x
x = 19,416.91/132.48 - Step 6: Final answer
x = 146.56
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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.