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Finding the Fourth Proportional to 41.68, 62.58 and 31.66

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Solution

The fourth proportional to 41.68, 62.58 and 31.66 is: 47.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.68 : 62.58 = 31.66 : x
  2. Step 2: Convert to fraction form
    41.68/62.58 = 31.66/x
  3. Step 3: Cross multiply
    41.68x = 62.58 × 31.66
  4. Step 4: Simplify right side
    41.68x = 1,981.28
  5. Step 5: Solve for x
    x = 1,981.28/41.68
  6. Step 6: Final answer
    x = 47.54

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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.