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Finding the Fourth Proportional to 226.97, 311.20 and 221.50

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Solution

The fourth proportional to 226.97, 311.20 and 221.50 is: 303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.97 : 311.20 = 221.50 : x
  2. Step 2: Convert to fraction form
    226.97/311.20 = 221.50/x
  3. Step 3: Cross multiply
    226.97x = 311.20 × 221.50
  4. Step 4: Simplify right side
    226.97x = 68,929.24
  5. Step 5: Solve for x
    x = 68,929.24/226.97
  6. Step 6: Final answer
    x = 303.70

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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.