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Finding the Fourth Proportional to 198.64, 275.71 and 190.72

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Solution

The fourth proportional to 198.64, 275.71 and 190.72 is: 264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.64 : 275.71 = 190.72 : x
  2. Step 2: Convert to fraction form
    198.64/275.71 = 190.72/x
  3. Step 3: Cross multiply
    198.64x = 275.71 × 190.72
  4. Step 4: Simplify right side
    198.64x = 52,583.41
  5. Step 5: Solve for x
    x = 52,583.41/198.64
  6. Step 6: Final answer
    x = 264.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.