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Finding the Fourth Proportional to 256.05, 350.75 and 255.33

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Solution

The fourth proportional to 256.05, 350.75 and 255.33 is: 349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.05 : 350.75 = 255.33 : x
  2. Step 2: Convert to fraction form
    256.05/350.75 = 255.33/x
  3. Step 3: Cross multiply
    256.05x = 350.75 × 255.33
  4. Step 4: Simplify right side
    256.05x = 89,557.00
  5. Step 5: Solve for x
    x = 89,557.00/256.05
  6. Step 6: Final answer
    x = 349.76

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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.