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Finding the Fourth Proportional to 260.08, 360.32 and 255.20

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Solution

The fourth proportional to 260.08, 360.32 and 255.20 is: 353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.08 : 360.32 = 255.20 : x
  2. Step 2: Convert to fraction form
    260.08/360.32 = 255.20/x
  3. Step 3: Cross multiply
    260.08x = 360.32 × 255.20
  4. Step 4: Simplify right side
    260.08x = 91,953.66
  5. Step 5: Solve for x
    x = 91,953.66/260.08
  6. Step 6: Final answer
    x = 353.56

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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.