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Finding the Fourth Proportional to 76.93, 115.35 and 31.29

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Solution

The fourth proportional to 76.93, 115.35 and 31.29 is: 46.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.93 : 115.35 = 31.29 : x
  2. Step 2: Convert to fraction form
    76.93/115.35 = 31.29/x
  3. Step 3: Cross multiply
    76.93x = 115.35 × 31.29
  4. Step 4: Simplify right side
    76.93x = 3,609.30
  5. Step 5: Solve for x
    x = 3,609.30/76.93
  6. Step 6: Final answer
    x = 46.92

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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.