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Finding the Fourth Proportional to 198.75, 296.43 and 178.27

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Solution

The fourth proportional to 198.75, 296.43 and 178.27 is: 265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.75 : 296.43 = 178.27 : x
  2. Step 2: Convert to fraction form
    198.75/296.43 = 178.27/x
  3. Step 3: Cross multiply
    198.75x = 296.43 × 178.27
  4. Step 4: Simplify right side
    198.75x = 52,843.17
  5. Step 5: Solve for x
    x = 52,843.17/198.75
  6. Step 6: Final answer
    x = 265.87

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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.