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Finding the Fourth Proportional to 199.92, 300.60 and 161.76

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Solution

The fourth proportional to 199.92, 300.60 and 161.76 is: 243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.92 : 300.60 = 161.76 : x
  2. Step 2: Convert to fraction form
    199.92/300.60 = 161.76/x
  3. Step 3: Cross multiply
    199.92x = 300.60 × 161.76
  4. Step 4: Simplify right side
    199.92x = 48,625.06
  5. Step 5: Solve for x
    x = 48,625.06/199.92
  6. Step 6: Final answer
    x = 243.22

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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.