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Finding the Fourth Proportional to 192.27, 287.73 and 140.79

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Solution

The fourth proportional to 192.27, 287.73 and 140.79 is: 210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.27 : 287.73 = 140.79 : x
  2. Step 2: Convert to fraction form
    192.27/287.73 = 140.79/x
  3. Step 3: Cross multiply
    192.27x = 287.73 × 140.79
  4. Step 4: Simplify right side
    192.27x = 40,508.57
  5. Step 5: Solve for x
    x = 40,508.57/192.27
  6. Step 6: Final answer
    x = 210.68

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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.