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Finding the Fourth Proportional to 229.82, 343.26 and 208.12

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Solution

The fourth proportional to 229.82, 343.26 and 208.12 is: 310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.82 : 343.26 = 208.12 : x
  2. Step 2: Convert to fraction form
    229.82/343.26 = 208.12/x
  3. Step 3: Cross multiply
    229.82x = 343.26 × 208.12
  4. Step 4: Simplify right side
    229.82x = 71,439.27
  5. Step 5: Solve for x
    x = 71,439.27/229.82
  6. Step 6: Final answer
    x = 310.85

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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.