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Finding the Fourth Proportional to 256.80, 351.78 and 256.08

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Solution

The fourth proportional to 256.80, 351.78 and 256.08 is: 350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.80 : 351.78 = 256.08 : x
  2. Step 2: Convert to fraction form
    256.80/351.78 = 256.08/x
  3. Step 3: Cross multiply
    256.80x = 351.78 × 256.08
  4. Step 4: Simplify right side
    256.80x = 90,083.82
  5. Step 5: Solve for x
    x = 90,083.82/256.80
  6. Step 6: Final answer
    x = 350.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.