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Finding the Fourth Proportional to 224.38, 311.08 and 212.08

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Solution

The fourth proportional to 224.38, 311.08 and 212.08 is: 294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.38 : 311.08 = 212.08 : x
  2. Step 2: Convert to fraction form
    224.38/311.08 = 212.08/x
  3. Step 3: Cross multiply
    224.38x = 311.08 × 212.08
  4. Step 4: Simplify right side
    224.38x = 65,973.85
  5. Step 5: Solve for x
    x = 65,973.85/224.38
  6. Step 6: Final answer
    x = 294.03

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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.