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Finding the Fourth Proportional to 163.94, 226.14 and 126.57

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Solution

The fourth proportional to 163.94, 226.14 and 126.57 is: 174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.94 : 226.14 = 126.57 : x
  2. Step 2: Convert to fraction form
    163.94/226.14 = 126.57/x
  3. Step 3: Cross multiply
    163.94x = 226.14 × 126.57
  4. Step 4: Simplify right side
    163.94x = 28,622.54
  5. Step 5: Solve for x
    x = 28,622.54/163.94
  6. Step 6: Final answer
    x = 174.59

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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.