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Finding the Fourth Proportional to 67.32, 100.89 and 30.74

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Solution

The fourth proportional to 67.32, 100.89 and 30.74 is: 46.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.32 : 100.89 = 30.74 : x
  2. Step 2: Convert to fraction form
    67.32/100.89 = 30.74/x
  3. Step 3: Cross multiply
    67.32x = 100.89 × 30.74
  4. Step 4: Simplify right side
    67.32x = 3,100.85
  5. Step 5: Solve for x
    x = 3,100.85/67.32
  6. Step 6: Final answer
    x = 46.06

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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.