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Finding the Fourth Proportional to 311.82, 467.01 and 224.94

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Solution

The fourth proportional to 311.82, 467.01 and 224.94 is: 336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.82 : 467.01 = 224.94 : x
  2. Step 2: Convert to fraction form
    311.82/467.01 = 224.94/x
  3. Step 3: Cross multiply
    311.82x = 467.01 × 224.94
  4. Step 4: Simplify right side
    311.82x = 105,049.23
  5. Step 5: Solve for x
    x = 105,049.23/311.82
  6. Step 6: Final answer
    x = 336.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.