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Finding the Fourth Proportional to 198.74, 296.43 and 168.10

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Solution

The fourth proportional to 198.74, 296.43 and 168.10 is: 250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.74 : 296.43 = 168.10 : x
  2. Step 2: Convert to fraction form
    198.74/296.43 = 168.10/x
  3. Step 3: Cross multiply
    198.74x = 296.43 × 168.10
  4. Step 4: Simplify right side
    198.74x = 49,829.88
  5. Step 5: Solve for x
    x = 49,829.88/198.74
  6. Step 6: Final answer
    x = 250.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.