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Finding the Fourth Proportional to 54.87, 82.09 and 42.92

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Solution

The fourth proportional to 54.87, 82.09 and 42.92 is: 64.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.87 : 82.09 = 42.92 : x
  2. Step 2: Convert to fraction form
    54.87/82.09 = 42.92/x
  3. Step 3: Cross multiply
    54.87x = 82.09 × 42.92
  4. Step 4: Simplify right side
    54.87x = 3,523.30
  5. Step 5: Solve for x
    x = 3,523.30/54.87
  6. Step 6: Final answer
    x = 64.21

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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.