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Finding the Fourth Proportional to 229.97, 343.32 and 195.38

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Solution

The fourth proportional to 229.97, 343.32 and 195.38 is: 291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.97 : 343.32 = 195.38 : x
  2. Step 2: Convert to fraction form
    229.97/343.32 = 195.38/x
  3. Step 3: Cross multiply
    229.97x = 343.32 × 195.38
  4. Step 4: Simplify right side
    229.97x = 67,076.15
  5. Step 5: Solve for x
    x = 67,076.15/229.97
  6. Step 6: Final answer
    x = 291.68

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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.