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Finding the Fourth Proportional to 197.88, 298.10 and 195.36

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Solution

The fourth proportional to 197.88, 298.10 and 195.36 is: 294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.88 : 298.10 = 195.36 : x
  2. Step 2: Convert to fraction form
    197.88/298.10 = 195.36/x
  3. Step 3: Cross multiply
    197.88x = 298.10 × 195.36
  4. Step 4: Simplify right side
    197.88x = 58,235.84
  5. Step 5: Solve for x
    x = 58,235.84/197.88
  6. Step 6: Final answer
    x = 294.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.