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Finding the Fourth Proportional to 106.38, 158.94 and 94.23

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Solution

The fourth proportional to 106.38, 158.94 and 94.23 is: 140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.38 : 158.94 = 94.23 : x
  2. Step 2: Convert to fraction form
    106.38/158.94 = 94.23/x
  3. Step 3: Cross multiply
    106.38x = 158.94 × 94.23
  4. Step 4: Simplify right side
    106.38x = 14,976.92
  5. Step 5: Solve for x
    x = 14,976.92/106.38
  6. Step 6: Final answer
    x = 140.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.