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Finding the Fourth Proportional to 198.28, 295.61 and 173.80

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Solution

The fourth proportional to 198.28, 295.61 and 173.80 is: 259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.28 : 295.61 = 173.80 : x
  2. Step 2: Convert to fraction form
    198.28/295.61 = 173.80/x
  3. Step 3: Cross multiply
    198.28x = 295.61 × 173.80
  4. Step 4: Simplify right side
    198.28x = 51,377.02
  5. Step 5: Solve for x
    x = 51,377.02/198.28
  6. Step 6: Final answer
    x = 259.11

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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.