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Finding the Fourth Proportional to 223.49, 308.16 and 181.97

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Solution

The fourth proportional to 223.49, 308.16 and 181.97 is: 250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.49 : 308.16 = 181.97 : x
  2. Step 2: Convert to fraction form
    223.49/308.16 = 181.97/x
  3. Step 3: Cross multiply
    223.49x = 308.16 × 181.97
  4. Step 4: Simplify right side
    223.49x = 56,074.33
  5. Step 5: Solve for x
    x = 56,074.33/223.49
  6. Step 6: Final answer
    x = 250.91

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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.