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Finding the Fourth Proportional to 198.71, 296.68 and 167.66

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Solution

The fourth proportional to 198.71, 296.68 and 167.66 is: 250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.71 : 296.68 = 167.66 : x
  2. Step 2: Convert to fraction form
    198.71/296.68 = 167.66/x
  3. Step 3: Cross multiply
    198.71x = 296.68 × 167.66
  4. Step 4: Simplify right side
    198.71x = 49,741.37
  5. Step 5: Solve for x
    x = 49,741.37/198.71
  6. Step 6: Final answer
    x = 250.32

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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.