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Finding the Fourth Proportional to 41.86, 62.24 and 40.78

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Solution

The fourth proportional to 41.86, 62.24 and 40.78 is: 60.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.86 : 62.24 = 40.78 : x
  2. Step 2: Convert to fraction form
    41.86/62.24 = 40.78/x
  3. Step 3: Cross multiply
    41.86x = 62.24 × 40.78
  4. Step 4: Simplify right side
    41.86x = 2,538.15
  5. Step 5: Solve for x
    x = 2,538.15/41.86
  6. Step 6: Final answer
    x = 60.63

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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.