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Finding the Fourth Proportional to 198.71, 296.82 and 169.68

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Solution

The fourth proportional to 198.71, 296.82 and 169.68 is: 253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.71 : 296.82 = 169.68 : x
  2. Step 2: Convert to fraction form
    198.71/296.82 = 169.68/x
  3. Step 3: Cross multiply
    198.71x = 296.82 × 169.68
  4. Step 4: Simplify right side
    198.71x = 50,364.42
  5. Step 5: Solve for x
    x = 50,364.42/198.71
  6. Step 6: Final answer
    x = 253.46

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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.