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Finding the Fourth Proportional to 224.85, 311.88 and 217.08

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Solution

The fourth proportional to 224.85, 311.88 and 217.08 is: 301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.85 : 311.88 = 217.08 : x
  2. Step 2: Convert to fraction form
    224.85/311.88 = 217.08/x
  3. Step 3: Cross multiply
    224.85x = 311.88 × 217.08
  4. Step 4: Simplify right side
    224.85x = 67,702.91
  5. Step 5: Solve for x
    x = 67,702.91/224.85
  6. Step 6: Final answer
    x = 301.10

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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.