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Finding the Fourth Proportional to 76.92, 115.29 and 46.41

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Solution

The fourth proportional to 76.92, 115.29 and 46.41 is: 69.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.92 : 115.29 = 46.41 : x
  2. Step 2: Convert to fraction form
    76.92/115.29 = 46.41/x
  3. Step 3: Cross multiply
    76.92x = 115.29 × 46.41
  4. Step 4: Simplify right side
    76.92x = 5,350.61
  5. Step 5: Solve for x
    x = 5,350.61/76.92
  6. Step 6: Final answer
    x = 69.56

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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.