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Finding the Fourth Proportional to 41.23, 61.51 and 39.86

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Solution

The fourth proportional to 41.23, 61.51 and 39.86 is: 59.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.23 : 61.51 = 39.86 : x
  2. Step 2: Convert to fraction form
    41.23/61.51 = 39.86/x
  3. Step 3: Cross multiply
    41.23x = 61.51 × 39.86
  4. Step 4: Simplify right side
    41.23x = 2,451.79
  5. Step 5: Solve for x
    x = 2,451.79/41.23
  6. Step 6: Final answer
    x = 59.47

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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.