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Finding the Fourth Proportional to 192.73, 287.65 and 168.29

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Solution

The fourth proportional to 192.73, 287.65 and 168.29 is: 251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.73 : 287.65 = 168.29 : x
  2. Step 2: Convert to fraction form
    192.73/287.65 = 168.29/x
  3. Step 3: Cross multiply
    192.73x = 287.65 × 168.29
  4. Step 4: Simplify right side
    192.73x = 48,408.62
  5. Step 5: Solve for x
    x = 48,408.62/192.73
  6. Step 6: Final answer
    x = 251.17

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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.