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Finding the Fourth Proportional to 223.88, 335.92 and 121.06

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Solution

The fourth proportional to 223.88, 335.92 and 121.06 is: 181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.88 : 335.92 = 121.06 : x
  2. Step 2: Convert to fraction form
    223.88/335.92 = 121.06/x
  3. Step 3: Cross multiply
    223.88x = 335.92 × 121.06
  4. Step 4: Simplify right side
    223.88x = 40,665.10
  5. Step 5: Solve for x
    x = 40,665.10/223.88
  6. Step 6: Final answer
    x = 181.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.