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Finding the Fourth Proportional to 126.33, 188.54 and 119.22

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Solution

The fourth proportional to 126.33, 188.54 and 119.22 is: 177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.33 : 188.54 = 119.22 : x
  2. Step 2: Convert to fraction form
    126.33/188.54 = 119.22/x
  3. Step 3: Cross multiply
    126.33x = 188.54 × 119.22
  4. Step 4: Simplify right side
    126.33x = 22,477.14
  5. Step 5: Solve for x
    x = 22,477.14/126.33
  6. Step 6: Final answer
    x = 177.92

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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.