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Finding the Fourth Proportional to 223.05, 308.21 and 161.09

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Solution

The fourth proportional to 223.05, 308.21 and 161.09 is: 222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.05 : 308.21 = 161.09 : x
  2. Step 2: Convert to fraction form
    223.05/308.21 = 161.09/x
  3. Step 3: Cross multiply
    223.05x = 308.21 × 161.09
  4. Step 4: Simplify right side
    223.05x = 49,648.36
  5. Step 5: Solve for x
    x = 49,648.36/223.05
  6. Step 6: Final answer
    x = 222.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.