Finding the Fourth Proportional to 177.13, 265.63 and 97.96
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Solution
The fourth proportional to 177.13, 265.63 and 97.96 is: 146.90
Step by Step Solution
- Step 1: Write the proportion equation
177.13 : 265.63 = 97.96 : x - Step 2: Convert to fraction form
177.13/265.63 = 97.96/x - Step 3: Cross multiply
177.13x = 265.63 × 97.96 - Step 4: Simplify right side
177.13x = 26,020.73 - Step 5: Solve for x
x = 26,020.73/177.13 - Step 6: Final answer
x = 146.90
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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.