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Finding the Fourth Proportional to 226.89, 338.70 and 209.97

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Solution

The fourth proportional to 226.89, 338.70 and 209.97 is: 313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.89 : 338.70 = 209.97 : x
  2. Step 2: Convert to fraction form
    226.89/338.70 = 209.97/x
  3. Step 3: Cross multiply
    226.89x = 338.70 × 209.97
  4. Step 4: Simplify right side
    226.89x = 71,116.64
  5. Step 5: Solve for x
    x = 71,116.64/226.89
  6. Step 6: Final answer
    x = 313.44

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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.