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Finding the Fourth Proportional to 263.63, 393.87 and 254.54

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Solution

The fourth proportional to 263.63, 393.87 and 254.54 is: 380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.63 : 393.87 = 254.54 : x
  2. Step 2: Convert to fraction form
    263.63/393.87 = 254.54/x
  3. Step 3: Cross multiply
    263.63x = 393.87 × 254.54
  4. Step 4: Simplify right side
    263.63x = 100,253.70
  5. Step 5: Solve for x
    x = 100,253.70/263.63
  6. Step 6: Final answer
    x = 380.29

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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.