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Finding the Fourth Proportional to 192.97, 288.05 and 168.67

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Solution

The fourth proportional to 192.97, 288.05 and 168.67 is: 251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.97 : 288.05 = 168.67 : x
  2. Step 2: Convert to fraction form
    192.97/288.05 = 168.67/x
  3. Step 3: Cross multiply
    192.97x = 288.05 × 168.67
  4. Step 4: Simplify right side
    192.97x = 48,585.39
  5. Step 5: Solve for x
    x = 48,585.39/192.97
  6. Step 6: Final answer
    x = 251.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.