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Finding the Fourth Proportional to 198.10, 272.55 and 192.70

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Solution

The fourth proportional to 198.10, 272.55 and 192.70 is: 265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.10 : 272.55 = 192.70 : x
  2. Step 2: Convert to fraction form
    198.10/272.55 = 192.70/x
  3. Step 3: Cross multiply
    198.10x = 272.55 × 192.70
  4. Step 4: Simplify right side
    198.10x = 52,520.39
  5. Step 5: Solve for x
    x = 52,520.39/198.10
  6. Step 6: Final answer
    x = 265.12

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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.