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Finding the Fourth Proportional to 256.08, 354.78 and 251.20

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Solution

The fourth proportional to 256.08, 354.78 and 251.20 is: 348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.08 : 354.78 = 251.20 : x
  2. Step 2: Convert to fraction form
    256.08/354.78 = 251.20/x
  3. Step 3: Cross multiply
    256.08x = 354.78 × 251.20
  4. Step 4: Simplify right side
    256.08x = 89,120.74
  5. Step 5: Solve for x
    x = 89,120.74/256.08
  6. Step 6: Final answer
    x = 348.02

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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.