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Finding the Fourth Proportional to 256.30, 355.19 and 251.44

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Solution

The fourth proportional to 256.30, 355.19 and 251.44 is: 348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.30 : 355.19 = 251.44 : x
  2. Step 2: Convert to fraction form
    256.30/355.19 = 251.44/x
  3. Step 3: Cross multiply
    256.30x = 355.19 × 251.44
  4. Step 4: Simplify right side
    256.30x = 89,308.97
  5. Step 5: Solve for x
    x = 89,308.97/256.30
  6. Step 6: Final answer
    x = 348.45

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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.