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Finding the Fourth Proportional to 226.98, 311.20 and 220.90

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Solution

The fourth proportional to 226.98, 311.20 and 220.90 is: 302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.98 : 311.20 = 220.90 : x
  2. Step 2: Convert to fraction form
    226.98/311.20 = 220.90/x
  3. Step 3: Cross multiply
    226.98x = 311.20 × 220.90
  4. Step 4: Simplify right side
    226.98x = 68,744.08
  5. Step 5: Solve for x
    x = 68,744.08/226.98
  6. Step 6: Final answer
    x = 302.86

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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.