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Finding the Fourth Proportional to 198.21, 273.24 and 158.99

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Solution

The fourth proportional to 198.21, 273.24 and 158.99 is: 219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.21 : 273.24 = 158.99 : x
  2. Step 2: Convert to fraction form
    198.21/273.24 = 158.99/x
  3. Step 3: Cross multiply
    198.21x = 273.24 × 158.99
  4. Step 4: Simplify right side
    198.21x = 43,443.11
  5. Step 5: Solve for x
    x = 43,443.11/198.21
  6. Step 6: Final answer
    x = 219.18

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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.