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Finding the Fourth Proportional to 320.75, 480.82 and 252.11

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Solution

The fourth proportional to 320.75, 480.82 and 252.11 is: 377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.75 : 480.82 = 252.11 : x
  2. Step 2: Convert to fraction form
    320.75/480.82 = 252.11/x
  3. Step 3: Cross multiply
    320.75x = 480.82 × 252.11
  4. Step 4: Simplify right side
    320.75x = 121,215.87
  5. Step 5: Solve for x
    x = 121,215.87/320.75
  6. Step 6: Final answer
    x = 377.91

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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.