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Finding the Fourth Proportional to 259.20, 355.32 and 255.15

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Solution

The fourth proportional to 259.20, 355.32 and 255.15 is: 349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.20 : 355.32 = 255.15 : x
  2. Step 2: Convert to fraction form
    259.20/355.32 = 255.15/x
  3. Step 3: Cross multiply
    259.20x = 355.32 × 255.15
  4. Step 4: Simplify right side
    259.20x = 90,659.90
  5. Step 5: Solve for x
    x = 90,659.90/259.20
  6. Step 6: Final answer
    x = 349.77

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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.