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Finding the Fourth Proportional to 424.41, 636.42 and 218.73

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Solution

The fourth proportional to 424.41, 636.42 and 218.73 is: 327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.41 : 636.42 = 218.73 : x
  2. Step 2: Convert to fraction form
    424.41/636.42 = 218.73/x
  3. Step 3: Cross multiply
    424.41x = 636.42 × 218.73
  4. Step 4: Simplify right side
    424.41x = 139,204.15
  5. Step 5: Solve for x
    x = 139,204.15/424.41
  6. Step 6: Final answer
    x = 327.99

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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.