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Finding the Fourth Proportional to 67.42, 100.85 and 57.16

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Solution

The fourth proportional to 67.42, 100.85 and 57.16 is: 85.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.42 : 100.85 = 57.16 : x
  2. Step 2: Convert to fraction form
    67.42/100.85 = 57.16/x
  3. Step 3: Cross multiply
    67.42x = 100.85 × 57.16
  4. Step 4: Simplify right side
    67.42x = 5,764.08
  5. Step 5: Solve for x
    x = 5,764.08/67.42
  6. Step 6: Final answer
    x = 85.50

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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.