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Finding the Fourth Proportional to 224.89, 311.76 and 212.57

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Solution

The fourth proportional to 224.89, 311.76 and 212.57 is: 294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.89 : 311.76 = 212.57 : x
  2. Step 2: Convert to fraction form
    224.89/311.76 = 212.57/x
  3. Step 3: Cross multiply
    224.89x = 311.76 × 212.57
  4. Step 4: Simplify right side
    224.89x = 66,270.43
  5. Step 5: Solve for x
    x = 66,270.43/224.89
  6. Step 6: Final answer
    x = 294.68

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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.