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Finding the Fourth Proportional to 76.91, 115.42 and 31.26

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Solution

The fourth proportional to 76.91, 115.42 and 31.26 is: 46.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.91 : 115.42 = 31.26 : x
  2. Step 2: Convert to fraction form
    76.91/115.42 = 31.26/x
  3. Step 3: Cross multiply
    76.91x = 115.42 × 31.26
  4. Step 4: Simplify right side
    76.91x = 3,607.95
  5. Step 5: Solve for x
    x = 3,607.95/76.91
  6. Step 6: Final answer
    x = 46.91

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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.