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Finding the Fourth Proportional to 126.82, 190.33 and 101.37

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Solution

The fourth proportional to 126.82, 190.33 and 101.37 is: 152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.82 : 190.33 = 101.37 : x
  2. Step 2: Convert to fraction form
    126.82/190.33 = 101.37/x
  3. Step 3: Cross multiply
    126.82x = 190.33 × 101.37
  4. Step 4: Simplify right side
    126.82x = 19,293.50
  5. Step 5: Solve for x
    x = 19,293.50/126.82
  6. Step 6: Final answer
    x = 152.14

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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.