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Finding the Fourth Proportional to 496.54, 743.73 and 239.50

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Solution

The fourth proportional to 496.54, 743.73 and 239.50 is: 358.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.54 : 743.73 = 239.50 : x
  2. Step 2: Convert to fraction form
    496.54/743.73 = 239.50/x
  3. Step 3: Cross multiply
    496.54x = 743.73 × 239.50
  4. Step 4: Simplify right side
    496.54x = 178,123.34
  5. Step 5: Solve for x
    x = 178,123.34/496.54
  6. Step 6: Final answer
    x = 358.73

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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.