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Finding the Fourth Proportional to 395.82, 596.10 and 331.41

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Solution

The fourth proportional to 395.82, 596.10 and 331.41 is: 499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.82 : 596.10 = 331.41 : x
  2. Step 2: Convert to fraction form
    395.82/596.10 = 331.41/x
  3. Step 3: Cross multiply
    395.82x = 596.10 × 331.41
  4. Step 4: Simplify right side
    395.82x = 197,553.50
  5. Step 5: Solve for x
    x = 197,553.50/395.82
  6. Step 6: Final answer
    x = 499.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.