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Finding the Fourth Proportional to 190.54, 262.89 and 116.83

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Solution

The fourth proportional to 190.54, 262.89 and 116.83 is: 161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.54 : 262.89 = 116.83 : x
  2. Step 2: Convert to fraction form
    190.54/262.89 = 116.83/x
  3. Step 3: Cross multiply
    190.54x = 262.89 × 116.83
  4. Step 4: Simplify right side
    190.54x = 30,713.44
  5. Step 5: Solve for x
    x = 30,713.44/190.54
  6. Step 6: Final answer
    x = 161.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.