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Finding the Fourth Proportional to 198.20, 295.74 and 164.18

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Solution

The fourth proportional to 198.20, 295.74 and 164.18 is: 244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.20 : 295.74 = 164.18 : x
  2. Step 2: Convert to fraction form
    198.20/295.74 = 164.18/x
  3. Step 3: Cross multiply
    198.20x = 295.74 × 164.18
  4. Step 4: Simplify right side
    198.20x = 48,555.33
  5. Step 5: Solve for x
    x = 48,555.33/198.20
  6. Step 6: Final answer
    x = 244.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.