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Finding the Fourth Proportional to 198.65, 274.13 and 119.97

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Solution

The fourth proportional to 198.65, 274.13 and 119.97 is: 165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.65 : 274.13 = 119.97 : x
  2. Step 2: Convert to fraction form
    198.65/274.13 = 119.97/x
  3. Step 3: Cross multiply
    198.65x = 274.13 × 119.97
  4. Step 4: Simplify right side
    198.65x = 32,886.78
  5. Step 5: Solve for x
    x = 32,886.78/198.65
  6. Step 6: Final answer
    x = 165.56

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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.