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Finding the Fourth Proportional to 234.65, 351.44 and 169.73

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Solution

The fourth proportional to 234.65, 351.44 and 169.73 is: 254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.65 : 351.44 = 169.73 : x
  2. Step 2: Convert to fraction form
    234.65/351.44 = 169.73/x
  3. Step 3: Cross multiply
    234.65x = 351.44 × 169.73
  4. Step 4: Simplify right side
    234.65x = 59,649.06
  5. Step 5: Solve for x
    x = 59,649.06/234.65
  6. Step 6: Final answer
    x = 254.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.