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Finding the Fourth Proportional to 223.68, 335.16 and 180.48

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Solution

The fourth proportional to 223.68, 335.16 and 180.48 is: 270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.68 : 335.16 = 180.48 : x
  2. Step 2: Convert to fraction form
    223.68/335.16 = 180.48/x
  3. Step 3: Cross multiply
    223.68x = 335.16 × 180.48
  4. Step 4: Simplify right side
    223.68x = 60,489.68
  5. Step 5: Solve for x
    x = 60,489.68/223.68
  6. Step 6: Final answer
    x = 270.43

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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.