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Finding the Fourth Proportional to 198.92, 297.90 and 164.07

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Solution

The fourth proportional to 198.92, 297.90 and 164.07 is: 245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.92 : 297.90 = 164.07 : x
  2. Step 2: Convert to fraction form
    198.92/297.90 = 164.07/x
  3. Step 3: Cross multiply
    198.92x = 297.90 × 164.07
  4. Step 4: Simplify right side
    198.92x = 48,876.45
  5. Step 5: Solve for x
    x = 48,876.45/198.92
  6. Step 6: Final answer
    x = 245.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.