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Finding the Fourth Proportional to 61.43, 84.17 and 60.48

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Solution

The fourth proportional to 61.43, 84.17 and 60.48 is: 82.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.43 : 84.17 = 60.48 : x
  2. Step 2: Convert to fraction form
    61.43/84.17 = 60.48/x
  3. Step 3: Cross multiply
    61.43x = 84.17 × 60.48
  4. Step 4: Simplify right side
    61.43x = 5,090.75
  5. Step 5: Solve for x
    x = 5,090.75/61.43
  6. Step 6: Final answer
    x = 82.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.