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Finding the Fourth Proportional to 234.30, 323.08 and 220.18

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Solution

The fourth proportional to 234.30, 323.08 and 220.18 is: 303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.30 : 323.08 = 220.18 : x
  2. Step 2: Convert to fraction form
    234.30/323.08 = 220.18/x
  3. Step 3: Cross multiply
    234.30x = 323.08 × 220.18
  4. Step 4: Simplify right side
    234.30x = 71,135.75
  5. Step 5: Solve for x
    x = 71,135.75/234.30
  6. Step 6: Final answer
    x = 303.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.