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Finding the Fourth Proportional to 234.62, 349.64 and 226.88

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Solution

The fourth proportional to 234.62, 349.64 and 226.88 is: 338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.62 : 349.64 = 226.88 : x
  2. Step 2: Convert to fraction form
    234.62/349.64 = 226.88/x
  3. Step 3: Cross multiply
    234.62x = 349.64 × 226.88
  4. Step 4: Simplify right side
    234.62x = 79,326.32
  5. Step 5: Solve for x
    x = 79,326.32/234.62
  6. Step 6: Final answer
    x = 338.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.