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Finding the Fourth Proportional to 190.80, 286.02 and 122.22

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Solution

The fourth proportional to 190.80, 286.02 and 122.22 is: 183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.80 : 286.02 = 122.22 : x
  2. Step 2: Convert to fraction form
    190.80/286.02 = 122.22/x
  3. Step 3: Cross multiply
    190.80x = 286.02 × 122.22
  4. Step 4: Simplify right side
    190.80x = 34,957.36
  5. Step 5: Solve for x
    x = 34,957.36/190.80
  6. Step 6: Final answer
    x = 183.21

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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.