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Finding the Fourth Proportional to 198.01, 272.83 and 162.92

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Solution

The fourth proportional to 198.01, 272.83 and 162.92 is: 224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.01 : 272.83 = 162.92 : x
  2. Step 2: Convert to fraction form
    198.01/272.83 = 162.92/x
  3. Step 3: Cross multiply
    198.01x = 272.83 × 162.92
  4. Step 4: Simplify right side
    198.01x = 44,449.46
  5. Step 5: Solve for x
    x = 44,449.46/198.01
  6. Step 6: Final answer
    x = 224.48

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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.