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Finding the Fourth Proportional to 80.50, 110.97 and 67.43

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Solution

The fourth proportional to 80.50, 110.97 and 67.43 is: 92.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.50 : 110.97 = 67.43 : x
  2. Step 2: Convert to fraction form
    80.50/110.97 = 67.43/x
  3. Step 3: Cross multiply
    80.50x = 110.97 × 67.43
  4. Step 4: Simplify right side
    80.50x = 7,482.70
  5. Step 5: Solve for x
    x = 7,482.70/80.50
  6. Step 6: Final answer
    x = 92.95

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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.