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Finding the Fourth Proportional to 424.65, 636.42 and 229.73

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Solution

The fourth proportional to 424.65, 636.42 and 229.73 is: 344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.65 : 636.42 = 229.73 : x
  2. Step 2: Convert to fraction form
    424.65/636.42 = 229.73/x
  3. Step 3: Cross multiply
    424.65x = 636.42 × 229.73
  4. Step 4: Simplify right side
    424.65x = 146,200.44
  5. Step 5: Solve for x
    x = 146,200.44/424.65
  6. Step 6: Final answer
    x = 344.29

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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.