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Finding the Fourth Proportional to 259.61, 359.84 and 255.96

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Solution

The fourth proportional to 259.61, 359.84 and 255.96 is: 354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.61 : 359.84 = 255.96 : x
  2. Step 2: Convert to fraction form
    259.61/359.84 = 255.96/x
  3. Step 3: Cross multiply
    259.61x = 359.84 × 255.96
  4. Step 4: Simplify right side
    259.61x = 92,105.29
  5. Step 5: Solve for x
    x = 92,105.29/259.61
  6. Step 6: Final answer
    x = 354.79

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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.