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Finding the Fourth Proportional to 198.35, 272.58 and 163.32

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Solution

The fourth proportional to 198.35, 272.58 and 163.32 is: 224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.35 : 272.58 = 163.32 : x
  2. Step 2: Convert to fraction form
    198.35/272.58 = 163.32/x
  3. Step 3: Cross multiply
    198.35x = 272.58 × 163.32
  4. Step 4: Simplify right side
    198.35x = 44,518.38
  5. Step 5: Solve for x
    x = 44,518.38/198.35
  6. Step 6: Final answer
    x = 224.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.