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Finding the Fourth Proportional to 297.54, 408.78 and 255.96

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Solution

The fourth proportional to 297.54, 408.78 and 255.96 is: 351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.54 : 408.78 = 255.96 : x
  2. Step 2: Convert to fraction form
    297.54/408.78 = 255.96/x
  3. Step 3: Cross multiply
    297.54x = 408.78 × 255.96
  4. Step 4: Simplify right side
    297.54x = 104,631.33
  5. Step 5: Solve for x
    x = 104,631.33/297.54
  6. Step 6: Final answer
    x = 351.65

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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.