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Finding the Fourth Proportional to 67.31, 100.29 and 67.04

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Solution

The fourth proportional to 67.31, 100.29 and 67.04 is: 99.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.31 : 100.29 = 67.04 : x
  2. Step 2: Convert to fraction form
    67.31/100.29 = 67.04/x
  3. Step 3: Cross multiply
    67.31x = 100.29 × 67.04
  4. Step 4: Simplify right side
    67.31x = 6,723.44
  5. Step 5: Solve for x
    x = 6,723.44/67.31
  6. Step 6: Final answer
    x = 99.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.