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Finding the Fourth Proportional to 31.50, 46.92 and 29.73

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Solution

The fourth proportional to 31.50, 46.92 and 29.73 is: 44.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.50 : 46.92 = 29.73 : x
  2. Step 2: Convert to fraction form
    31.50/46.92 = 29.73/x
  3. Step 3: Cross multiply
    31.50x = 46.92 × 29.73
  4. Step 4: Simplify right side
    31.50x = 1,394.93
  5. Step 5: Solve for x
    x = 1,394.93/31.50
  6. Step 6: Final answer
    x = 44.28

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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.