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Finding the Fourth Proportional to 234.98, 323.79 and 179.72

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Solution

The fourth proportional to 234.98, 323.79 and 179.72 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.98 : 323.79 = 179.72 : x
  2. Step 2: Convert to fraction form
    234.98/323.79 = 179.72/x
  3. Step 3: Cross multiply
    234.98x = 323.79 × 179.72
  4. Step 4: Simplify right side
    234.98x = 58,191.54
  5. Step 5: Solve for x
    x = 58,191.54/234.98
  6. Step 6: Final answer
    x = 247.64

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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.