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Finding the Fourth Proportional to 234.13, 349.78 and 167.72

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Solution

The fourth proportional to 234.13, 349.78 and 167.72 is: 250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.13 : 349.78 = 167.72 : x
  2. Step 2: Convert to fraction form
    234.13/349.78 = 167.72/x
  3. Step 3: Cross multiply
    234.13x = 349.78 × 167.72
  4. Step 4: Simplify right side
    234.13x = 58,664.92
  5. Step 5: Solve for x
    x = 58,664.92/234.13
  6. Step 6: Final answer
    x = 250.56

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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.