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Finding the Fourth Proportional to 163.94, 226.14 and 131.18

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Solution

The fourth proportional to 163.94, 226.14 and 131.18 is: 180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.94 : 226.14 = 131.18 : x
  2. Step 2: Convert to fraction form
    163.94/226.14 = 131.18/x
  3. Step 3: Cross multiply
    163.94x = 226.14 × 131.18
  4. Step 4: Simplify right side
    163.94x = 29,665.05
  5. Step 5: Solve for x
    x = 29,665.05/163.94
  6. Step 6: Final answer
    x = 180.95

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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.