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Finding the Fourth Proportional to 321.53, 441.78 and 255.92

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Solution

The fourth proportional to 321.53, 441.78 and 255.92 is: 351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.53 : 441.78 = 255.92 : x
  2. Step 2: Convert to fraction form
    321.53/441.78 = 255.92/x
  3. Step 3: Cross multiply
    321.53x = 441.78 × 255.92
  4. Step 4: Simplify right side
    321.53x = 113,060.34
  5. Step 5: Solve for x
    x = 113,060.34/321.53
  6. Step 6: Final answer
    x = 351.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.