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Finding the Fourth Proportional to 41.86, 63.05 and 37.63

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Solution

The fourth proportional to 41.86, 63.05 and 37.63 is: 56.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.86 : 63.05 = 37.63 : x
  2. Step 2: Convert to fraction form
    41.86/63.05 = 37.63/x
  3. Step 3: Cross multiply
    41.86x = 63.05 × 37.63
  4. Step 4: Simplify right side
    41.86x = 2,372.57
  5. Step 5: Solve for x
    x = 2,372.57/41.86
  6. Step 6: Final answer
    x = 56.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.