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Finding the Fourth Proportional to 234.47, 351.83 and 166.43

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Solution

The fourth proportional to 234.47, 351.83 and 166.43 is: 249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.47 : 351.83 = 166.43 : x
  2. Step 2: Convert to fraction form
    234.47/351.83 = 166.43/x
  3. Step 3: Cross multiply
    234.47x = 351.83 × 166.43
  4. Step 4: Simplify right side
    234.47x = 58,556.36
  5. Step 5: Solve for x
    x = 58,556.36/234.47
  6. Step 6: Final answer
    x = 249.74

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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.