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Finding the Fourth Proportional to 268, 402.13 and 123.82

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Solution

The fourth proportional to 268, 402.13 and 123.82 is: 185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268 : 402.13 = 123.82 : x
  2. Step 2: Convert to fraction form
    268/402.13 = 123.82/x
  3. Step 3: Cross multiply
    268x = 402.13 × 123.82
  4. Step 4: Simplify right side
    268x = 49,791.74
  5. Step 5: Solve for x
    x = 49,791.74/268
  6. Step 6: Final answer
    x = 185.79

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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.