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Finding the Fourth Proportional to 229.90, 343.31 and 199.54

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Solution

The fourth proportional to 229.90, 343.31 and 199.54 is: 297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.90 : 343.31 = 199.54 : x
  2. Step 2: Convert to fraction form
    229.90/343.31 = 199.54/x
  3. Step 3: Cross multiply
    229.90x = 343.31 × 199.54
  4. Step 4: Simplify right side
    229.90x = 68,503.08
  5. Step 5: Solve for x
    x = 68,503.08/229.90
  6. Step 6: Final answer
    x = 297.97

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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.