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Finding the Fourth Proportional to 76.32, 114.42 and 51.92

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Solution

The fourth proportional to 76.32, 114.42 and 51.92 is: 77.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.32 : 114.42 = 51.92 : x
  2. Step 2: Convert to fraction form
    76.32/114.42 = 51.92/x
  3. Step 3: Cross multiply
    76.32x = 114.42 × 51.92
  4. Step 4: Simplify right side
    76.32x = 5,940.11
  5. Step 5: Solve for x
    x = 5,940.11/76.32
  6. Step 6: Final answer
    x = 77.83

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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.