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Finding the Fourth Proportional to 198.32, 270.05 and 195.47

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Solution

The fourth proportional to 198.32, 270.05 and 195.47 is: 266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.32 : 270.05 = 195.47 : x
  2. Step 2: Convert to fraction form
    198.32/270.05 = 195.47/x
  3. Step 3: Cross multiply
    198.32x = 270.05 × 195.47
  4. Step 4: Simplify right side
    198.32x = 52,786.67
  5. Step 5: Solve for x
    x = 52,786.67/198.32
  6. Step 6: Final answer
    x = 266.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.