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Finding the Fourth Proportional to 198.76, 274.24 and 183.28

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Solution

The fourth proportional to 198.76, 274.24 and 183.28 is: 252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.76 : 274.24 = 183.28 : x
  2. Step 2: Convert to fraction form
    198.76/274.24 = 183.28/x
  3. Step 3: Cross multiply
    198.76x = 274.24 × 183.28
  4. Step 4: Simplify right side
    198.76x = 50,262.71
  5. Step 5: Solve for x
    x = 50,262.71/198.76
  6. Step 6: Final answer
    x = 252.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.