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Finding the Fourth Proportional to 260.57, 392.91 and 255.71

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Solution

The fourth proportional to 260.57, 392.91 and 255.71 is: 385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.57 : 392.91 = 255.71 : x
  2. Step 2: Convert to fraction form
    260.57/392.91 = 255.71/x
  3. Step 3: Cross multiply
    260.57x = 392.91 × 255.71
  4. Step 4: Simplify right side
    260.57x = 100,469.05
  5. Step 5: Solve for x
    x = 100,469.05/260.57
  6. Step 6: Final answer
    x = 385.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.