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Finding the Fourth Proportional to 272.91, 408.33 and 255.48

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Solution

The fourth proportional to 272.91, 408.33 and 255.48 is: 382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.91 : 408.33 = 255.48 : x
  2. Step 2: Convert to fraction form
    272.91/408.33 = 255.48/x
  3. Step 3: Cross multiply
    272.91x = 408.33 × 255.48
  4. Step 4: Simplify right side
    272.91x = 104,320.15
  5. Step 5: Solve for x
    x = 104,320.15/272.91
  6. Step 6: Final answer
    x = 382.25

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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.