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Finding the Fourth Proportional to 265.49, 395.10 and 255.77

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Solution

The fourth proportional to 265.49, 395.10 and 255.77 is: 380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.49 : 395.10 = 255.77 : x
  2. Step 2: Convert to fraction form
    265.49/395.10 = 255.77/x
  3. Step 3: Cross multiply
    265.49x = 395.10 × 255.77
  4. Step 4: Simplify right side
    265.49x = 101,054.73
  5. Step 5: Solve for x
    x = 101,054.73/265.49
  6. Step 6: Final answer
    x = 380.63

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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.