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Finding the Fourth Proportional to 190.27, 285 and 116.97

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Solution

The fourth proportional to 190.27, 285 and 116.97 is: 175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.27 : 285 = 116.97 : x
  2. Step 2: Convert to fraction form
    190.27/285 = 116.97/x
  3. Step 3: Cross multiply
    190.27x = 285 × 116.97
  4. Step 4: Simplify right side
    190.27x = 33,336.45
  5. Step 5: Solve for x
    x = 33,336.45/190.27
  6. Step 6: Final answer
    x = 175.21

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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.