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Finding the Fourth Proportional to 61.32, 83.97 and 60.24

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Solution

The fourth proportional to 61.32, 83.97 and 60.24 is: 82.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.32 : 83.97 = 60.24 : x
  2. Step 2: Convert to fraction form
    61.32/83.97 = 60.24/x
  3. Step 3: Cross multiply
    61.32x = 83.97 × 60.24
  4. Step 4: Simplify right side
    61.32x = 5,058.35
  5. Step 5: Solve for x
    x = 5,058.35/61.32
  6. Step 6: Final answer
    x = 82.49

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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.