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Finding the Fourth Proportional to 424.43, 636.83 and 270.42

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Solution

The fourth proportional to 424.43, 636.83 and 270.42 is: 405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.43 : 636.83 = 270.42 : x
  2. Step 2: Convert to fraction form
    424.43/636.83 = 270.42/x
  3. Step 3: Cross multiply
    424.43x = 636.83 × 270.42
  4. Step 4: Simplify right side
    424.43x = 172,211.57
  5. Step 5: Solve for x
    x = 172,211.57/424.43
  6. Step 6: Final answer
    x = 405.75

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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.