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Finding the Fourth Proportional to 81.98, 122.96 and 24.20

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Solution

The fourth proportional to 81.98, 122.96 and 24.20 is: 36.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.98 : 122.96 = 24.20 : x
  2. Step 2: Convert to fraction form
    81.98/122.96 = 24.20/x
  3. Step 3: Cross multiply
    81.98x = 122.96 × 24.20
  4. Step 4: Simplify right side
    81.98x = 2,974.90
  5. Step 5: Solve for x
    x = 2,974.90/81.98
  6. Step 6: Final answer
    x = 36.29

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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.