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Finding the Fourth Proportional to 192.23, 286.49 and 191.92

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Solution

The fourth proportional to 192.23, 286.49 and 191.92 is: 286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.23 : 286.49 = 191.92 : x
  2. Step 2: Convert to fraction form
    192.23/286.49 = 191.92/x
  3. Step 3: Cross multiply
    192.23x = 286.49 × 191.92
  4. Step 4: Simplify right side
    192.23x = 54,983.16
  5. Step 5: Solve for x
    x = 54,983.16/192.23
  6. Step 6: Final answer
    x = 286.03

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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.