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Finding the Fourth Proportional to 197.82, 274.64 and 191.88

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Solution

The fourth proportional to 197.82, 274.64 and 191.88 is: 266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.82 : 274.64 = 191.88 : x
  2. Step 2: Convert to fraction form
    197.82/274.64 = 191.88/x
  3. Step 3: Cross multiply
    197.82x = 274.64 × 191.88
  4. Step 4: Simplify right side
    197.82x = 52,696.96
  5. Step 5: Solve for x
    x = 52,696.96/197.82
  6. Step 6: Final answer
    x = 266.39

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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.