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Finding the Fourth Proportional to 197.94, 274.94 and 192.17

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Solution

The fourth proportional to 197.94, 274.94 and 192.17 is: 266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.94 : 274.94 = 192.17 : x
  2. Step 2: Convert to fraction form
    197.94/274.94 = 192.17/x
  3. Step 3: Cross multiply
    197.94x = 274.94 × 192.17
  4. Step 4: Simplify right side
    197.94x = 52,836.75
  5. Step 5: Solve for x
    x = 52,836.75/197.94
  6. Step 6: Final answer
    x = 266.93

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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.