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Finding the Fourth Proportional to 198.02, 273.45 and 128.21

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Solution

The fourth proportional to 198.02, 273.45 and 128.21 is: 177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.02 : 273.45 = 128.21 : x
  2. Step 2: Convert to fraction form
    198.02/273.45 = 128.21/x
  3. Step 3: Cross multiply
    198.02x = 273.45 × 128.21
  4. Step 4: Simplify right side
    198.02x = 35,059.02
  5. Step 5: Solve for x
    x = 35,059.02/198.02
  6. Step 6: Final answer
    x = 177.05

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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.