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Finding the Fourth Proportional to 198.83, 274.88 and 190.28

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Solution

The fourth proportional to 198.83, 274.88 and 190.28 is: 263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.83 : 274.88 = 190.28 : x
  2. Step 2: Convert to fraction form
    198.83/274.88 = 190.28/x
  3. Step 3: Cross multiply
    198.83x = 274.88 × 190.28
  4. Step 4: Simplify right side
    198.83x = 52,304.17
  5. Step 5: Solve for x
    x = 52,304.17/198.83
  6. Step 6: Final answer
    x = 263.06

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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.