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Finding the Fourth Proportional to 198.14, 295.78 and 183.90

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Solution

The fourth proportional to 198.14, 295.78 and 183.90 is: 274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.14 : 295.78 = 183.90 : x
  2. Step 2: Convert to fraction form
    198.14/295.78 = 183.90/x
  3. Step 3: Cross multiply
    198.14x = 295.78 × 183.90
  4. Step 4: Simplify right side
    198.14x = 54,393.94
  5. Step 5: Solve for x
    x = 54,393.94/198.14
  6. Step 6: Final answer
    x = 274.52

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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.