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Finding the Fourth Proportional to 41.57, 61.97 and 40.76

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Solution

The fourth proportional to 41.57, 61.97 and 40.76 is: 60.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.57 : 61.97 = 40.76 : x
  2. Step 2: Convert to fraction form
    41.57/61.97 = 40.76/x
  3. Step 3: Cross multiply
    41.57x = 61.97 × 40.76
  4. Step 4: Simplify right side
    41.57x = 2,525.90
  5. Step 5: Solve for x
    x = 2,525.90/41.57
  6. Step 6: Final answer
    x = 60.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.