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Finding the Fourth Proportional to 221.26, 333.97 and 221.26

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Solution

The fourth proportional to 221.26, 333.97 and 221.26 is: 333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.26 : 333.97 = 221.26 : x
  2. Step 2: Convert to fraction form
    221.26/333.97 = 221.26/x
  3. Step 3: Cross multiply
    221.26x = 333.97 × 221.26
  4. Step 4: Simplify right side
    221.26x = 73,895.94
  5. Step 5: Solve for x
    x = 73,895.94/221.26
  6. Step 6: Final answer
    x = 333.97

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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.