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Finding the Fourth Proportional to 265.68, 395.39 and 255.96

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Solution

The fourth proportional to 265.68, 395.39 and 255.96 is: 380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.68 : 395.39 = 255.96 : x
  2. Step 2: Convert to fraction form
    265.68/395.39 = 255.96/x
  3. Step 3: Cross multiply
    265.68x = 395.39 × 255.96
  4. Step 4: Simplify right side
    265.68x = 101,200.77
  5. Step 5: Solve for x
    x = 101,200.77/265.68
  6. Step 6: Final answer
    x = 380.92

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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.