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Finding the Fourth Proportional to 67.31, 100.88 and 30.77

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Solution

The fourth proportional to 67.31, 100.88 and 30.77 is: 46.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.31 : 100.88 = 30.77 : x
  2. Step 2: Convert to fraction form
    67.31/100.88 = 30.77/x
  3. Step 3: Cross multiply
    67.31x = 100.88 × 30.77
  4. Step 4: Simplify right side
    67.31x = 3,104.41
  5. Step 5: Solve for x
    x = 3,104.41/67.31
  6. Step 6: Final answer
    x = 46.12

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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.