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Finding the Fourth Proportional to 229.96, 343.43 and 217.48

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Solution

The fourth proportional to 229.96, 343.43 and 217.48 is: 324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.96 : 343.43 = 217.48 : x
  2. Step 2: Convert to fraction form
    229.96/343.43 = 217.48/x
  3. Step 3: Cross multiply
    229.96x = 343.43 × 217.48
  4. Step 4: Simplify right side
    229.96x = 74,689.16
  5. Step 5: Solve for x
    x = 74,689.16/229.96
  6. Step 6: Final answer
    x = 324.79

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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.