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Finding the Fourth Proportional to 126.36, 188.73 and 120.69

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Solution

The fourth proportional to 126.36, 188.73 and 120.69 is: 180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.36 : 188.73 = 120.69 : x
  2. Step 2: Convert to fraction form
    126.36/188.73 = 120.69/x
  3. Step 3: Cross multiply
    126.36x = 188.73 × 120.69
  4. Step 4: Simplify right side
    126.36x = 22,777.82
  5. Step 5: Solve for x
    x = 22,777.82/126.36
  6. Step 6: Final answer
    x = 180.26

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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.