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Finding the Fourth Proportional to 262.68, 396.34 and 254.31

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Solution

The fourth proportional to 262.68, 396.34 and 254.31 is: 383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.68 : 396.34 = 254.31 : x
  2. Step 2: Convert to fraction form
    262.68/396.34 = 254.31/x
  3. Step 3: Cross multiply
    262.68x = 396.34 × 254.31
  4. Step 4: Simplify right side
    262.68x = 100,793.23
  5. Step 5: Solve for x
    x = 100,793.23/262.68
  6. Step 6: Final answer
    x = 383.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.