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Finding the Fourth Proportional to 321.92, 483.17 and 200.42

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Solution

The fourth proportional to 321.92, 483.17 and 200.42 is: 300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.92 : 483.17 = 200.42 : x
  2. Step 2: Convert to fraction form
    321.92/483.17 = 200.42/x
  3. Step 3: Cross multiply
    321.92x = 483.17 × 200.42
  4. Step 4: Simplify right side
    321.92x = 96,836.93
  5. Step 5: Solve for x
    x = 96,836.93/321.92
  6. Step 6: Final answer
    x = 300.81

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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.