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Finding the Fourth Proportional to 198.91, 274.42 and 124.17

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Solution

The fourth proportional to 198.91, 274.42 and 124.17 is: 171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.91 : 274.42 = 124.17 : x
  2. Step 2: Convert to fraction form
    198.91/274.42 = 124.17/x
  3. Step 3: Cross multiply
    198.91x = 274.42 × 124.17
  4. Step 4: Simplify right side
    198.91x = 34,074.73
  5. Step 5: Solve for x
    x = 34,074.73/198.91
  6. Step 6: Final answer
    x = 171.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.