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Finding the Fourth Proportional to 226.88, 337.97 and 220.08

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Solution

The fourth proportional to 226.88, 337.97 and 220.08 is: 327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.88 : 337.97 = 220.08 : x
  2. Step 2: Convert to fraction form
    226.88/337.97 = 220.08/x
  3. Step 3: Cross multiply
    226.88x = 337.97 × 220.08
  4. Step 4: Simplify right side
    226.88x = 74,380.44
  5. Step 5: Solve for x
    x = 74,380.44/226.88
  6. Step 6: Final answer
    x = 327.84

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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.