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Finding the Fourth Proportional to 263.80, 363.52 and 198.24

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Solution

The fourth proportional to 263.80, 363.52 and 198.24 is: 273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.80 : 363.52 = 198.24 : x
  2. Step 2: Convert to fraction form
    263.80/363.52 = 198.24/x
  3. Step 3: Cross multiply
    263.80x = 363.52 × 198.24
  4. Step 4: Simplify right side
    263.80x = 72,064.20
  5. Step 5: Solve for x
    x = 72,064.20/263.80
  6. Step 6: Final answer
    x = 273.18

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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.