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Finding the Fourth Proportional to 198.08, 298.32 and 150.32

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Solution

The fourth proportional to 198.08, 298.32 and 150.32 is: 226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.08 : 298.32 = 150.32 : x
  2. Step 2: Convert to fraction form
    198.08/298.32 = 150.32/x
  3. Step 3: Cross multiply
    198.08x = 298.32 × 150.32
  4. Step 4: Simplify right side
    198.08x = 44,843.46
  5. Step 5: Solve for x
    x = 44,843.46/198.08
  6. Step 6: Final answer
    x = 226.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.