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Finding the Fourth Proportional to 198.05, 295.89 and 194.00

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Solution

The fourth proportional to 198.05, 295.89 and 194.00 is: 289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.05 : 295.89 = 194.00 : x
  2. Step 2: Convert to fraction form
    198.05/295.89 = 194.00/x
  3. Step 3: Cross multiply
    198.05x = 295.89 × 194.00
  4. Step 4: Simplify right side
    198.05x = 57,403.40
  5. Step 5: Solve for x
    x = 57,403.40/198.05
  6. Step 6: Final answer
    x = 289.84

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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.