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Finding the Fourth Proportional to 399.92, 600.44 and 321.88

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Solution

The fourth proportional to 399.92, 600.44 and 321.88 is: 483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.92 : 600.44 = 321.88 : x
  2. Step 2: Convert to fraction form
    399.92/600.44 = 321.88/x
  3. Step 3: Cross multiply
    399.92x = 600.44 × 321.88
  4. Step 4: Simplify right side
    399.92x = 193,269.63
  5. Step 5: Solve for x
    x = 193,269.63/399.92
  6. Step 6: Final answer
    x = 483.27

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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.