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Finding the Fourth Proportional to 128.97, 177.78 and 92.01

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Solution

The fourth proportional to 128.97, 177.78 and 92.01 is: 126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.97 : 177.78 = 92.01 : x
  2. Step 2: Convert to fraction form
    128.97/177.78 = 92.01/x
  3. Step 3: Cross multiply
    128.97x = 177.78 × 92.01
  4. Step 4: Simplify right side
    128.97x = 16,357.54
  5. Step 5: Solve for x
    x = 16,357.54/128.97
  6. Step 6: Final answer
    x = 126.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.