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Finding the Fourth Proportional to 67.28, 100.34 and 57.02

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Solution

The fourth proportional to 67.28, 100.34 and 57.02 is: 85.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.28 : 100.34 = 57.02 : x
  2. Step 2: Convert to fraction form
    67.28/100.34 = 57.02/x
  3. Step 3: Cross multiply
    67.28x = 100.34 × 57.02
  4. Step 4: Simplify right side
    67.28x = 5,721.39
  5. Step 5: Solve for x
    x = 5,721.39/67.28
  6. Step 6: Final answer
    x = 85.04

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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.