Finding the Fourth Proportional to 132.13, 197.79 and 97.93
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Solution
The fourth proportional to 132.13, 197.79 and 97.93 is: 146.59
Step by Step Solution
- Step 1: Write the proportion equation
132.13 : 197.79 = 97.93 : x - Step 2: Convert to fraction form
132.13/197.79 = 97.93/x - Step 3: Cross multiply
132.13x = 197.79 × 97.93 - Step 4: Simplify right side
132.13x = 19,369.57 - Step 5: Solve for x
x = 19,369.57/132.13 - Step 6: Final answer
x = 146.59
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.