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Finding the Fourth Proportional to 190.82, 286.25 and 69.05

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Solution

The fourth proportional to 190.82, 286.25 and 69.05 is: 103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.82 : 286.25 = 69.05 : x
  2. Step 2: Convert to fraction form
    190.82/286.25 = 69.05/x
  3. Step 3: Cross multiply
    190.82x = 286.25 × 69.05
  4. Step 4: Simplify right side
    190.82x = 19,765.93
  5. Step 5: Solve for x
    x = 19,765.93/190.82
  6. Step 6: Final answer
    x = 103.58

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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.