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Finding the Fourth Proportional to 234.03, 352.45 and 213.28

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Solution

The fourth proportional to 234.03, 352.45 and 213.28 is: 321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.03 : 352.45 = 213.28 : x
  2. Step 2: Convert to fraction form
    234.03/352.45 = 213.28/x
  3. Step 3: Cross multiply
    234.03x = 352.45 × 213.28
  4. Step 4: Simplify right side
    234.03x = 75,169.92
  5. Step 5: Solve for x
    x = 75,169.92/234.03
  6. Step 6: Final answer
    x = 321.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.