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Finding the Fourth Proportional to 234.14, 349.77 and 168.62

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Solution

The fourth proportional to 234.14, 349.77 and 168.62 is: 251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.14 : 349.77 = 168.62 : x
  2. Step 2: Convert to fraction form
    234.14/349.77 = 168.62/x
  3. Step 3: Cross multiply
    234.14x = 349.77 × 168.62
  4. Step 4: Simplify right side
    234.14x = 58,976.47
  5. Step 5: Solve for x
    x = 58,976.47/234.14
  6. Step 6: Final answer
    x = 251.89

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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.