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Finding the Fourth Proportional to 265.86, 396.77 and 255.27

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Solution

The fourth proportional to 265.86, 396.77 and 255.27 is: 380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.86 : 396.77 = 255.27 : x
  2. Step 2: Convert to fraction form
    265.86/396.77 = 255.27/x
  3. Step 3: Cross multiply
    265.86x = 396.77 × 255.27
  4. Step 4: Simplify right side
    265.86x = 101,283.48
  5. Step 5: Solve for x
    x = 101,283.48/265.86
  6. Step 6: Final answer
    x = 380.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.