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Finding the Fourth Proportional to 224.94, 311.72 and 220.62

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Solution

The fourth proportional to 224.94, 311.72 and 220.62 is: 305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.94 : 311.72 = 220.62 : x
  2. Step 2: Convert to fraction form
    224.94/311.72 = 220.62/x
  3. Step 3: Cross multiply
    224.94x = 311.72 × 220.62
  4. Step 4: Simplify right side
    224.94x = 68,771.67
  5. Step 5: Solve for x
    x = 68,771.67/224.94
  6. Step 6: Final answer
    x = 305.73

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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.