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Finding the Fourth Proportional to 263.44, 395.61 and 254.80

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Solution

The fourth proportional to 263.44, 395.61 and 254.80 is: 382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.44 : 395.61 = 254.80 : x
  2. Step 2: Convert to fraction form
    263.44/395.61 = 254.80/x
  3. Step 3: Cross multiply
    263.44x = 395.61 × 254.80
  4. Step 4: Simplify right side
    263.44x = 100,801.43
  5. Step 5: Solve for x
    x = 100,801.43/263.44
  6. Step 6: Final answer
    x = 382.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.