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Finding the Fourth Proportional to 400.14, 600.21 and 331.80

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Solution

The fourth proportional to 400.14, 600.21 and 331.80 is: 497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.14 : 600.21 = 331.80 : x
  2. Step 2: Convert to fraction form
    400.14/600.21 = 331.80/x
  3. Step 3: Cross multiply
    400.14x = 600.21 × 331.80
  4. Step 4: Simplify right side
    400.14x = 199,147.43
  5. Step 5: Solve for x
    x = 199,147.43/400.14
  6. Step 6: Final answer
    x = 497.69

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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.