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Finding the Fourth Proportional to 135.38, 186.62 and 106.22

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Solution

The fourth proportional to 135.38, 186.62 and 106.22 is: 146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.38 : 186.62 = 106.22 : x
  2. Step 2: Convert to fraction form
    135.38/186.62 = 106.22/x
  3. Step 3: Cross multiply
    135.38x = 186.62 × 106.22
  4. Step 4: Simplify right side
    135.38x = 19,822.78
  5. Step 5: Solve for x
    x = 19,822.78/135.38
  6. Step 6: Final answer
    x = 146.42

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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.