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Finding the Fourth Proportional to 161.96, 243.05 and 121.49

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Solution

The fourth proportional to 161.96, 243.05 and 121.49 is: 182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.96 : 243.05 = 121.49 : x
  2. Step 2: Convert to fraction form
    161.96/243.05 = 121.49/x
  3. Step 3: Cross multiply
    161.96x = 243.05 × 121.49
  4. Step 4: Simplify right side
    161.96x = 29,526.93
  5. Step 5: Solve for x
    x = 29,526.93/161.96
  6. Step 6: Final answer
    x = 182.32

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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.