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Finding the Fourth Proportional to 234.39, 322.88 and 219.27

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Solution

The fourth proportional to 234.39, 322.88 and 219.27 is: 302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.39 : 322.88 = 219.27 : x
  2. Step 2: Convert to fraction form
    234.39/322.88 = 219.27/x
  3. Step 3: Cross multiply
    234.39x = 322.88 × 219.27
  4. Step 4: Simplify right side
    234.39x = 70,796.80
  5. Step 5: Solve for x
    x = 70,796.80/234.39
  6. Step 6: Final answer
    x = 302.05

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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.