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Finding the Fourth Proportional to 50.67, 69.92 and 31.00

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Solution

The fourth proportional to 50.67, 69.92 and 31.00 is: 42.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.67 : 69.92 = 31.00 : x
  2. Step 2: Convert to fraction form
    50.67/69.92 = 31.00/x
  3. Step 3: Cross multiply
    50.67x = 69.92 × 31.00
  4. Step 4: Simplify right side
    50.67x = 2,167.42
  5. Step 5: Solve for x
    x = 2,167.42/50.67
  6. Step 6: Final answer
    x = 42.78

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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.