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Finding the Fourth Proportional to 331.57, 496.23 and 255.07

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Solution

The fourth proportional to 331.57, 496.23 and 255.07 is: 381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.57 : 496.23 = 255.07 : x
  2. Step 2: Convert to fraction form
    331.57/496.23 = 255.07/x
  3. Step 3: Cross multiply
    331.57x = 496.23 × 255.07
  4. Step 4: Simplify right side
    331.57x = 126,573.39
  5. Step 5: Solve for x
    x = 126,573.39/331.57
  6. Step 6: Final answer
    x = 381.74

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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.