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Finding the Fourth Proportional to 31.41, 43.32 and 21.69

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Solution

The fourth proportional to 31.41, 43.32 and 21.69 is: 29.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.41 : 43.32 = 21.69 : x
  2. Step 2: Convert to fraction form
    31.41/43.32 = 21.69/x
  3. Step 3: Cross multiply
    31.41x = 43.32 × 21.69
  4. Step 4: Simplify right side
    31.41x = 939.61
  5. Step 5: Solve for x
    x = 939.61/31.41
  6. Step 6: Final answer
    x = 29.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.