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Finding the Fourth Proportional to 226.72, 337.16 and 224.32

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Solution

The fourth proportional to 226.72, 337.16 and 224.32 is: 333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.72 : 337.16 = 224.32 : x
  2. Step 2: Convert to fraction form
    226.72/337.16 = 224.32/x
  3. Step 3: Cross multiply
    226.72x = 337.16 × 224.32
  4. Step 4: Simplify right side
    226.72x = 75,631.73
  5. Step 5: Solve for x
    x = 75,631.73/226.72
  6. Step 6: Final answer
    x = 333.59

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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.