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Finding the Fourth Proportional to 234.26, 322.74 and 219.14

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Solution

The fourth proportional to 234.26, 322.74 and 219.14 is: 301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.26 : 322.74 = 219.14 : x
  2. Step 2: Convert to fraction form
    234.26/322.74 = 219.14/x
  3. Step 3: Cross multiply
    234.26x = 322.74 × 219.14
  4. Step 4: Simplify right side
    234.26x = 70,723.63
  5. Step 5: Solve for x
    x = 70,723.63/234.26
  6. Step 6: Final answer
    x = 301.91

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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.