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Finding the Fourth Proportional to 61.76, 85.24 and 34.13

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Solution

The fourth proportional to 61.76, 85.24 and 34.13 is: 47.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.76 : 85.24 = 34.13 : x
  2. Step 2: Convert to fraction form
    61.76/85.24 = 34.13/x
  3. Step 3: Cross multiply
    61.76x = 85.24 × 34.13
  4. Step 4: Simplify right side
    61.76x = 2,909.37
  5. Step 5: Solve for x
    x = 2,909.37/61.76
  6. Step 6: Final answer
    x = 47.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.