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Finding the Fourth Proportional to 76.20, 114.29 and 29.92

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Solution

The fourth proportional to 76.20, 114.29 and 29.92 is: 44.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.20 : 114.29 = 29.92 : x
  2. Step 2: Convert to fraction form
    76.20/114.29 = 29.92/x
  3. Step 3: Cross multiply
    76.20x = 114.29 × 29.92
  4. Step 4: Simplify right side
    76.20x = 3,419.41
  5. Step 5: Solve for x
    x = 3,419.41/76.20
  6. Step 6: Final answer
    x = 44.88

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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.