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Finding the Fourth Proportional to 190.39, 286.12 and 185.78

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Solution

The fourth proportional to 190.39, 286.12 and 185.78 is: 279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.39 : 286.12 = 185.78 : x
  2. Step 2: Convert to fraction form
    190.39/286.12 = 185.78/x
  3. Step 3: Cross multiply
    190.39x = 286.12 × 185.78
  4. Step 4: Simplify right side
    190.39x = 53,155.37
  5. Step 5: Solve for x
    x = 53,155.37/190.39
  6. Step 6: Final answer
    x = 279.19

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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.