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Finding the Fourth Proportional to 223.61, 308.39 and 161.37

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Solution

The fourth proportional to 223.61, 308.39 and 161.37 is: 222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.61 : 308.39 = 161.37 : x
  2. Step 2: Convert to fraction form
    223.61/308.39 = 161.37/x
  3. Step 3: Cross multiply
    223.61x = 308.39 × 161.37
  4. Step 4: Simplify right side
    223.61x = 49,764.09
  5. Step 5: Solve for x
    x = 49,764.09/223.61
  6. Step 6: Final answer
    x = 222.55

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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.