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Finding the Fourth Proportional to 229.38, 343.77 and 168.40

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Solution

The fourth proportional to 229.38, 343.77 and 168.40 is: 252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.38 : 343.77 = 168.40 : x
  2. Step 2: Convert to fraction form
    229.38/343.77 = 168.40/x
  3. Step 3: Cross multiply
    229.38x = 343.77 × 168.40
  4. Step 4: Simplify right side
    229.38x = 57,890.87
  5. Step 5: Solve for x
    x = 57,890.87/229.38
  6. Step 6: Final answer
    x = 252.38

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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.