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Finding the Fourth Proportional to 135.26, 201.47 and 126.82

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Solution

The fourth proportional to 135.26, 201.47 and 126.82 is: 188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.26 : 201.47 = 126.82 : x
  2. Step 2: Convert to fraction form
    135.26/201.47 = 126.82/x
  3. Step 3: Cross multiply
    135.26x = 201.47 × 126.82
  4. Step 4: Simplify right side
    135.26x = 25,550.04
  5. Step 5: Solve for x
    x = 25,550.04/135.26
  6. Step 6: Final answer
    x = 188.90

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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.