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Finding the Fourth Proportional to 197.80, 294.74 and 192.22

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Solution

The fourth proportional to 197.80, 294.74 and 192.22 is: 286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.80 : 294.74 = 192.22 : x
  2. Step 2: Convert to fraction form
    197.80/294.74 = 192.22/x
  3. Step 3: Cross multiply
    197.80x = 294.74 × 192.22
  4. Step 4: Simplify right side
    197.80x = 56,654.92
  5. Step 5: Solve for x
    x = 56,654.92/197.80
  6. Step 6: Final answer
    x = 286.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.