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Finding the Fourth Proportional to 367.38, 550.22 and 229.68

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Solution

The fourth proportional to 367.38, 550.22 and 229.68 is: 343.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.38 : 550.22 = 229.68 : x
  2. Step 2: Convert to fraction form
    367.38/550.22 = 229.68/x
  3. Step 3: Cross multiply
    367.38x = 550.22 × 229.68
  4. Step 4: Simplify right side
    367.38x = 126,374.53
  5. Step 5: Solve for x
    x = 126,374.53/367.38
  6. Step 6: Final answer
    x = 343.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.