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Finding the Fourth Proportional to 226.83, 311.31 and 220.76

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Solution

The fourth proportional to 226.83, 311.31 and 220.76 is: 302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.83 : 311.31 = 220.76 : x
  2. Step 2: Convert to fraction form
    226.83/311.31 = 220.76/x
  3. Step 3: Cross multiply
    226.83x = 311.31 × 220.76
  4. Step 4: Simplify right side
    226.83x = 68,723.24
  5. Step 5: Solve for x
    x = 68,723.24/226.83
  6. Step 6: Final answer
    x = 302.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.