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Finding the Fourth Proportional to 228.26, 343.97 and 206.66

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Solution

The fourth proportional to 228.26, 343.97 and 206.66 is: 311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.26 : 343.97 = 206.66 : x
  2. Step 2: Convert to fraction form
    228.26/343.97 = 206.66/x
  3. Step 3: Cross multiply
    228.26x = 343.97 × 206.66
  4. Step 4: Simplify right side
    228.26x = 71,084.84
  5. Step 5: Solve for x
    x = 71,084.84/228.26
  6. Step 6: Final answer
    x = 311.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.