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Finding the Fourth Proportional to 198.67, 296.57 and 167.95

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Solution

The fourth proportional to 198.67, 296.57 and 167.95 is: 250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.67 : 296.57 = 167.95 : x
  2. Step 2: Convert to fraction form
    198.67/296.57 = 167.95/x
  3. Step 3: Cross multiply
    198.67x = 296.57 × 167.95
  4. Step 4: Simplify right side
    198.67x = 49,808.93
  5. Step 5: Solve for x
    x = 49,808.93/198.67
  6. Step 6: Final answer
    x = 250.71

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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.