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Finding the Fourth Proportional to 263.35, 363.86 and 197.74

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Solution

The fourth proportional to 263.35, 363.86 and 197.74 is: 273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.35 : 363.86 = 197.74 : x
  2. Step 2: Convert to fraction form
    263.35/363.86 = 197.74/x
  3. Step 3: Cross multiply
    263.35x = 363.86 × 197.74
  4. Step 4: Simplify right side
    263.35x = 71,949.68
  5. Step 5: Solve for x
    x = 71,949.68/263.35
  6. Step 6: Final answer
    x = 273.21

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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.