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Finding the Fourth Proportional to 496.28, 743.89 and 218.39

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Solution

The fourth proportional to 496.28, 743.89 and 218.39 is: 327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.28 : 743.89 = 218.39 : x
  2. Step 2: Convert to fraction form
    496.28/743.89 = 218.39/x
  3. Step 3: Cross multiply
    496.28x = 743.89 × 218.39
  4. Step 4: Simplify right side
    496.28x = 162,453.33
  5. Step 5: Solve for x
    x = 162,453.33/496.28
  6. Step 6: Final answer
    x = 327.34

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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.