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Finding the Fourth Proportional to 119.16, 163.79 and 105.27

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Solution

The fourth proportional to 119.16, 163.79 and 105.27 is: 144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.16 : 163.79 = 105.27 : x
  2. Step 2: Convert to fraction form
    119.16/163.79 = 105.27/x
  3. Step 3: Cross multiply
    119.16x = 163.79 × 105.27
  4. Step 4: Simplify right side
    119.16x = 17,241.65
  5. Step 5: Solve for x
    x = 17,241.65/119.16
  6. Step 6: Final answer
    x = 144.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.