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Finding the Fourth Proportional to 242.89, 335.12 and 159.97

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Solution

The fourth proportional to 242.89, 335.12 and 159.97 is: 220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.89 : 335.12 = 159.97 : x
  2. Step 2: Convert to fraction form
    242.89/335.12 = 159.97/x
  3. Step 3: Cross multiply
    242.89x = 335.12 × 159.97
  4. Step 4: Simplify right side
    242.89x = 53,608.75
  5. Step 5: Solve for x
    x = 53,608.75/242.89
  6. Step 6: Final answer
    x = 220.71

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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.