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Finding the Fourth Proportional to 255.28, 382.08 and 216.82

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Solution

The fourth proportional to 255.28, 382.08 and 216.82 is: 324.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.28 : 382.08 = 216.82 : x
  2. Step 2: Convert to fraction form
    255.28/382.08 = 216.82/x
  3. Step 3: Cross multiply
    255.28x = 382.08 × 216.82
  4. Step 4: Simplify right side
    255.28x = 82,842.59
  5. Step 5: Solve for x
    x = 82,842.59/255.28
  6. Step 6: Final answer
    x = 324.52

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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.