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Finding the Fourth Proportional to 106.26, 158.40 and 103.38

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Solution

The fourth proportional to 106.26, 158.40 and 103.38 is: 154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.26 : 158.40 = 103.38 : x
  2. Step 2: Convert to fraction form
    106.26/158.40 = 103.38/x
  3. Step 3: Cross multiply
    106.26x = 158.40 × 103.38
  4. Step 4: Simplify right side
    106.26x = 16,375.39
  5. Step 5: Solve for x
    x = 16,375.39/106.26
  6. Step 6: Final answer
    x = 154.11

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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.