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Finding the Fourth Proportional to 198.22, 296.94 and 124.87

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Solution

The fourth proportional to 198.22, 296.94 and 124.87 is: 187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.22 : 296.94 = 124.87 : x
  2. Step 2: Convert to fraction form
    198.22/296.94 = 124.87/x
  3. Step 3: Cross multiply
    198.22x = 296.94 × 124.87
  4. Step 4: Simplify right side
    198.22x = 37,078.90
  5. Step 5: Solve for x
    x = 37,078.90/198.22
  6. Step 6: Final answer
    x = 187.06

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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.