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Finding the Fourth Proportional to 263.32, 363.92 and 197.80

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Solution

The fourth proportional to 263.32, 363.92 and 197.80 is: 273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.32 : 363.92 = 197.80 : x
  2. Step 2: Convert to fraction form
    263.32/363.92 = 197.80/x
  3. Step 3: Cross multiply
    263.32x = 363.92 × 197.80
  4. Step 4: Simplify right side
    263.32x = 71,983.38
  5. Step 5: Solve for x
    x = 71,983.38/263.32
  6. Step 6: Final answer
    x = 273.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.