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Finding the Fourth Proportional to 198.09, 296.96 and 82.46

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Solution

The fourth proportional to 198.09, 296.96 and 82.46 is: 123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.09 : 296.96 = 82.46 : x
  2. Step 2: Convert to fraction form
    198.09/296.96 = 82.46/x
  3. Step 3: Cross multiply
    198.09x = 296.96 × 82.46
  4. Step 4: Simplify right side
    198.09x = 24,487.32
  5. Step 5: Solve for x
    x = 24,487.32/198.09
  6. Step 6: Final answer
    x = 123.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.