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Finding the Fourth Proportional to 234.11, 349.43 and 206.77

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Solution

The fourth proportional to 234.11, 349.43 and 206.77 is: 308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.11 : 349.43 = 206.77 : x
  2. Step 2: Convert to fraction form
    234.11/349.43 = 206.77/x
  3. Step 3: Cross multiply
    234.11x = 349.43 × 206.77
  4. Step 4: Simplify right side
    234.11x = 72,251.64
  5. Step 5: Solve for x
    x = 72,251.64/234.11
  6. Step 6: Final answer
    x = 308.62

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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.