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Finding the Fourth Proportional to 279.45, 386.22 and 232.82

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Solution

The fourth proportional to 279.45, 386.22 and 232.82 is: 321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.45 : 386.22 = 232.82 : x
  2. Step 2: Convert to fraction form
    279.45/386.22 = 232.82/x
  3. Step 3: Cross multiply
    279.45x = 386.22 × 232.82
  4. Step 4: Simplify right side
    279.45x = 89,920.99
  5. Step 5: Solve for x
    x = 89,920.99/279.45
  6. Step 6: Final answer
    x = 321.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.