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Finding the Fourth Proportional to 198.96, 274.12 and 149.74

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Solution

The fourth proportional to 198.96, 274.12 and 149.74 is: 206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.96 : 274.12 = 149.74 : x
  2. Step 2: Convert to fraction form
    198.96/274.12 = 149.74/x
  3. Step 3: Cross multiply
    198.96x = 274.12 × 149.74
  4. Step 4: Simplify right side
    198.96x = 41,046.73
  5. Step 5: Solve for x
    x = 41,046.73/198.96
  6. Step 6: Final answer
    x = 206.31

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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.