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Finding the Fourth Proportional to 40.97, 56.50 and 31.75

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Solution

The fourth proportional to 40.97, 56.50 and 31.75 is: 43.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.97 : 56.50 = 31.75 : x
  2. Step 2: Convert to fraction form
    40.97/56.50 = 31.75/x
  3. Step 3: Cross multiply
    40.97x = 56.50 × 31.75
  4. Step 4: Simplify right side
    40.97x = 1,793.65
  5. Step 5: Solve for x
    x = 1,793.65/40.97
  6. Step 6: Final answer
    x = 43.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.