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Finding the Fourth Proportional to 198.74, 274.13 and 132.35

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Solution

The fourth proportional to 198.74, 274.13 and 132.35 is: 182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.74 : 274.13 = 132.35 : x
  2. Step 2: Convert to fraction form
    198.74/274.13 = 132.35/x
  3. Step 3: Cross multiply
    198.74x = 274.13 × 132.35
  4. Step 4: Simplify right side
    198.74x = 36,279.07
  5. Step 5: Solve for x
    x = 36,279.07/198.74
  6. Step 6: Final answer
    x = 182.55

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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.