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Finding the Fourth Proportional to 128.22, 193.28 and 119.86

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Solution

The fourth proportional to 128.22, 193.28 and 119.86 is: 180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.22 : 193.28 = 119.86 : x
  2. Step 2: Convert to fraction form
    128.22/193.28 = 119.86/x
  3. Step 3: Cross multiply
    128.22x = 193.28 × 119.86
  4. Step 4: Simplify right side
    128.22x = 23,166.54
  5. Step 5: Solve for x
    x = 23,166.54/128.22
  6. Step 6: Final answer
    x = 180.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.