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Finding the Fourth Proportional to 192.97, 289.41 and 190.81

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Solution

The fourth proportional to 192.97, 289.41 and 190.81 is: 286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.97 : 289.41 = 190.81 : x
  2. Step 2: Convert to fraction form
    192.97/289.41 = 190.81/x
  3. Step 3: Cross multiply
    192.97x = 289.41 × 190.81
  4. Step 4: Simplify right side
    192.97x = 55,222.32
  5. Step 5: Solve for x
    x = 55,222.32/192.97
  6. Step 6: Final answer
    x = 286.17

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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.