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Finding the Fourth Proportional to 263.66, 363.29 and 198.05

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Solution

The fourth proportional to 263.66, 363.29 and 198.05 is: 272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.66 : 363.29 = 198.05 : x
  2. Step 2: Convert to fraction form
    263.66/363.29 = 198.05/x
  3. Step 3: Cross multiply
    263.66x = 363.29 × 198.05
  4. Step 4: Simplify right side
    263.66x = 71,946.78
  5. Step 5: Solve for x
    x = 71,946.78/263.66
  6. Step 6: Final answer
    x = 272.88

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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.