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Finding the Fourth Proportional to 256.43, 355.56 and 252.18

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Solution

The fourth proportional to 256.43, 355.56 and 252.18 is: 349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.43 : 355.56 = 252.18 : x
  2. Step 2: Convert to fraction form
    256.43/355.56 = 252.18/x
  3. Step 3: Cross multiply
    256.43x = 355.56 × 252.18
  4. Step 4: Simplify right side
    256.43x = 89,664.18
  5. Step 5: Solve for x
    x = 89,664.18/256.43
  6. Step 6: Final answer
    x = 349.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.