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Finding the Fourth Proportional to 224.48, 311.02 and 220.98

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Solution

The fourth proportional to 224.48, 311.02 and 220.98 is: 306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.48 : 311.02 = 220.98 : x
  2. Step 2: Convert to fraction form
    224.48/311.02 = 220.98/x
  3. Step 3: Cross multiply
    224.48x = 311.02 × 220.98
  4. Step 4: Simplify right side
    224.48x = 68,729.20
  5. Step 5: Solve for x
    x = 68,729.20/224.48
  6. Step 6: Final answer
    x = 306.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.