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Finding the Fourth Proportional to 76.85, 115.22 and 31.19

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Solution

The fourth proportional to 76.85, 115.22 and 31.19 is: 46.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.85 : 115.22 = 31.19 : x
  2. Step 2: Convert to fraction form
    76.85/115.22 = 31.19/x
  3. Step 3: Cross multiply
    76.85x = 115.22 × 31.19
  4. Step 4: Simplify right side
    76.85x = 3,593.21
  5. Step 5: Solve for x
    x = 3,593.21/76.85
  6. Step 6: Final answer
    x = 46.76

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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.