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Finding the Fourth Proportional to 31.38, 47.30 and 26.43

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Solution

The fourth proportional to 31.38, 47.30 and 26.43 is: 39.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.38 : 47.30 = 26.43 : x
  2. Step 2: Convert to fraction form
    31.38/47.30 = 26.43/x
  3. Step 3: Cross multiply
    31.38x = 47.30 × 26.43
  4. Step 4: Simplify right side
    31.38x = 1,250.01
  5. Step 5: Solve for x
    x = 1,250.01/31.38
  6. Step 6: Final answer
    x = 39.83

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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.