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Finding the Fourth Proportional to 67.38, 101.01 and 57.78

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Solution

The fourth proportional to 67.38, 101.01 and 57.78 is: 86.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.38 : 101.01 = 57.78 : x
  2. Step 2: Convert to fraction form
    67.38/101.01 = 57.78/x
  3. Step 3: Cross multiply
    67.38x = 101.01 × 57.78
  4. Step 4: Simplify right side
    67.38x = 5,836.36
  5. Step 5: Solve for x
    x = 5,836.36/67.38
  6. Step 6: Final answer
    x = 86.62

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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.