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Finding the Fourth Proportional to 198.03, 295.60 and 183.78

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Solution

The fourth proportional to 198.03, 295.60 and 183.78 is: 274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.03 : 295.60 = 183.78 : x
  2. Step 2: Convert to fraction form
    198.03/295.60 = 183.78/x
  3. Step 3: Cross multiply
    198.03x = 295.60 × 183.78
  4. Step 4: Simplify right side
    198.03x = 54,325.83
  5. Step 5: Solve for x
    x = 54,325.83/198.03
  6. Step 6: Final answer
    x = 274.33

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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.