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Finding the Fourth Proportional to 234.39, 322.99 and 222.04

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Solution

The fourth proportional to 234.39, 322.99 and 222.04 is: 305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.39 : 322.99 = 222.04 : x
  2. Step 2: Convert to fraction form
    234.39/322.99 = 222.04/x
  3. Step 3: Cross multiply
    234.39x = 322.99 × 222.04
  4. Step 4: Simplify right side
    234.39x = 71,716.55
  5. Step 5: Solve for x
    x = 71,716.55/234.39
  6. Step 6: Final answer
    x = 305.97

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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.