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Finding the Fourth Proportional to 331.98, 500.87 and 331.07

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Solution

The fourth proportional to 331.98, 500.87 and 331.07 is: 499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.98 : 500.87 = 331.07 : x
  2. Step 2: Convert to fraction form
    331.98/500.87 = 331.07/x
  3. Step 3: Cross multiply
    331.98x = 500.87 × 331.07
  4. Step 4: Simplify right side
    331.98x = 165,818.87
  5. Step 5: Solve for x
    x = 165,818.87/331.98
  6. Step 6: Final answer
    x = 499.48

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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.