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Finding the Fourth Proportional to 229.76, 343.06 and 209.24

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Solution

The fourth proportional to 229.76, 343.06 and 209.24 is: 312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.76 : 343.06 = 209.24 : x
  2. Step 2: Convert to fraction form
    229.76/343.06 = 209.24/x
  3. Step 3: Cross multiply
    229.76x = 343.06 × 209.24
  4. Step 4: Simplify right side
    229.76x = 71,781.87
  5. Step 5: Solve for x
    x = 71,781.87/229.76
  6. Step 6: Final answer
    x = 312.42

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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.