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Finding the Fourth Proportional to 234.91, 350.70 and 179.77

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Solution

The fourth proportional to 234.91, 350.70 and 179.77 is: 268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.91 : 350.70 = 179.77 : x
  2. Step 2: Convert to fraction form
    234.91/350.70 = 179.77/x
  3. Step 3: Cross multiply
    234.91x = 350.70 × 179.77
  4. Step 4: Simplify right side
    234.91x = 63,044.44
  5. Step 5: Solve for x
    x = 63,044.44/234.91
  6. Step 6: Final answer
    x = 268.38

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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.