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Finding the Fourth Proportional to 31.68, 47.28 and 29.91

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Solution

The fourth proportional to 31.68, 47.28 and 29.91 is: 44.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.68 : 47.28 = 29.91 : x
  2. Step 2: Convert to fraction form
    31.68/47.28 = 29.91/x
  3. Step 3: Cross multiply
    31.68x = 47.28 × 29.91
  4. Step 4: Simplify right side
    31.68x = 1,414.14
  5. Step 5: Solve for x
    x = 1,414.14/31.68
  6. Step 6: Final answer
    x = 44.64

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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.