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Finding the Fourth Proportional to 126.77, 190.40 and 109.44

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Solution

The fourth proportional to 126.77, 190.40 and 109.44 is: 164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.77 : 190.40 = 109.44 : x
  2. Step 2: Convert to fraction form
    126.77/190.40 = 109.44/x
  3. Step 3: Cross multiply
    126.77x = 190.40 × 109.44
  4. Step 4: Simplify right side
    126.77x = 20,836.83
  5. Step 5: Solve for x
    x = 20,836.83/126.77
  6. Step 6: Final answer
    x = 164.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.