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Finding the Fourth Proportional to 190.17, 286.37 and 136.44

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Solution

The fourth proportional to 190.17, 286.37 and 136.44 is: 205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.17 : 286.37 = 136.44 : x
  2. Step 2: Convert to fraction form
    190.17/286.37 = 136.44/x
  3. Step 3: Cross multiply
    190.17x = 286.37 × 136.44
  4. Step 4: Simplify right side
    190.17x = 39,072.15
  5. Step 5: Solve for x
    x = 39,072.15/190.17
  6. Step 6: Final answer
    x = 205.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.