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Finding the Fourth Proportional to 198.06, 272.61 and 182.13

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Solution

The fourth proportional to 198.06, 272.61 and 182.13 is: 250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.06 : 272.61 = 182.13 : x
  2. Step 2: Convert to fraction form
    198.06/272.61 = 182.13/x
  3. Step 3: Cross multiply
    198.06x = 272.61 × 182.13
  4. Step 4: Simplify right side
    198.06x = 49,650.46
  5. Step 5: Solve for x
    x = 49,650.46/198.06
  6. Step 6: Final answer
    x = 250.68

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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.