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Finding the Fourth Proportional to 67.50, 100.43 and 65.81

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Solution

The fourth proportional to 67.50, 100.43 and 65.81 is: 97.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 100.43 = 65.81 : x
  2. Step 2: Convert to fraction form
    67.50/100.43 = 65.81/x
  3. Step 3: Cross multiply
    67.50x = 100.43 × 65.81
  4. Step 4: Simplify right side
    67.50x = 6,609.30
  5. Step 5: Solve for x
    x = 6,609.30/67.50
  6. Step 6: Final answer
    x = 97.92

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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.