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Finding the Fourth Proportional to 198.55, 296.39 and 167.83

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Solution

The fourth proportional to 198.55, 296.39 and 167.83 is: 250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.55 : 296.39 = 167.83 : x
  2. Step 2: Convert to fraction form
    198.55/296.39 = 167.83/x
  3. Step 3: Cross multiply
    198.55x = 296.39 × 167.83
  4. Step 4: Simplify right side
    198.55x = 49,740.81
  5. Step 5: Solve for x
    x = 49,740.81/198.55
  6. Step 6: Final answer
    x = 250.53

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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.