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Finding the Fourth Proportional to 226.56, 311.96 and 200.64

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Solution

The fourth proportional to 226.56, 311.96 and 200.64 is: 276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.56 : 311.96 = 200.64 : x
  2. Step 2: Convert to fraction form
    226.56/311.96 = 200.64/x
  3. Step 3: Cross multiply
    226.56x = 311.96 × 200.64
  4. Step 4: Simplify right side
    226.56x = 62,591.65
  5. Step 5: Solve for x
    x = 62,591.65/226.56
  6. Step 6: Final answer
    x = 276.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.