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Finding the Fourth Proportional to 198.73, 296.35 and 178.25

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Solution

The fourth proportional to 198.73, 296.35 and 178.25 is: 265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.73 : 296.35 = 178.25 : x
  2. Step 2: Convert to fraction form
    198.73/296.35 = 178.25/x
  3. Step 3: Cross multiply
    198.73x = 296.35 × 178.25
  4. Step 4: Simplify right side
    198.73x = 52,824.39
  5. Step 5: Solve for x
    x = 52,824.39/198.73
  6. Step 6: Final answer
    x = 265.82

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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.