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Finding the Fourth Proportional to 184.28, 254.03 and 128.97

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Solution

The fourth proportional to 184.28, 254.03 and 128.97 is: 177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.28 : 254.03 = 128.97 : x
  2. Step 2: Convert to fraction form
    184.28/254.03 = 128.97/x
  3. Step 3: Cross multiply
    184.28x = 254.03 × 128.97
  4. Step 4: Simplify right side
    184.28x = 32,761.60
  5. Step 5: Solve for x
    x = 32,761.60/184.28
  6. Step 6: Final answer
    x = 177.79

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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.