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Finding the Fourth Proportional to 255.90, 382.20 and 219.44

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Solution

The fourth proportional to 255.90, 382.20 and 219.44 is: 327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.90 : 382.20 = 219.44 : x
  2. Step 2: Convert to fraction form
    255.90/382.20 = 219.44/x
  3. Step 3: Cross multiply
    255.90x = 382.20 × 219.44
  4. Step 4: Simplify right side
    255.90x = 83,869.97
  5. Step 5: Solve for x
    x = 83,869.97/255.90
  6. Step 6: Final answer
    x = 327.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.