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Finding the Fourth Proportional to 321.07, 480.80 and 252.97

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Solution

The fourth proportional to 321.07, 480.80 and 252.97 is: 378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.07 : 480.80 = 252.97 : x
  2. Step 2: Convert to fraction form
    321.07/480.80 = 252.97/x
  3. Step 3: Cross multiply
    321.07x = 480.80 × 252.97
  4. Step 4: Simplify right side
    321.07x = 121,627.98
  5. Step 5: Solve for x
    x = 121,627.98/321.07
  6. Step 6: Final answer
    x = 378.82

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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.