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Finding the Fourth Proportional to 41.98, 63.31 and 38.08

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Solution

The fourth proportional to 41.98, 63.31 and 38.08 is: 57.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.98 : 63.31 = 38.08 : x
  2. Step 2: Convert to fraction form
    41.98/63.31 = 38.08/x
  3. Step 3: Cross multiply
    41.98x = 63.31 × 38.08
  4. Step 4: Simplify right side
    41.98x = 2,410.84
  5. Step 5: Solve for x
    x = 2,410.84/41.98
  6. Step 6: Final answer
    x = 57.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.