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Finding the Fourth Proportional to 77.35, 115.97 and 31.72

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Solution

The fourth proportional to 77.35, 115.97 and 31.72 is: 47.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.35 : 115.97 = 31.72 : x
  2. Step 2: Convert to fraction form
    77.35/115.97 = 31.72/x
  3. Step 3: Cross multiply
    77.35x = 115.97 × 31.72
  4. Step 4: Simplify right side
    77.35x = 3,678.57
  5. Step 5: Solve for x
    x = 3,678.57/77.35
  6. Step 6: Final answer
    x = 47.56

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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.