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Finding the Fourth Proportional to 128.73, 192.16 and 119.21

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Solution

The fourth proportional to 128.73, 192.16 and 119.21 is: 177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.73 : 192.16 = 119.21 : x
  2. Step 2: Convert to fraction form
    128.73/192.16 = 119.21/x
  3. Step 3: Cross multiply
    128.73x = 192.16 × 119.21
  4. Step 4: Simplify right side
    128.73x = 22,906.80
  5. Step 5: Solve for x
    x = 22,906.80/128.73
  6. Step 6: Final answer
    x = 177.94

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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.