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Finding the Fourth Proportional to 311.73, 465.80 and 224.65

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Solution

The fourth proportional to 311.73, 465.80 and 224.65 is: 335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.73 : 465.80 = 224.65 : x
  2. Step 2: Convert to fraction form
    311.73/465.80 = 224.65/x
  3. Step 3: Cross multiply
    311.73x = 465.80 × 224.65
  4. Step 4: Simplify right side
    311.73x = 104,641.97
  5. Step 5: Solve for x
    x = 104,641.97/311.73
  6. Step 6: Final answer
    x = 335.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.