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Finding the Fourth Proportional to 263.22, 362.78 and 197.62

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Solution

The fourth proportional to 263.22, 362.78 and 197.62 is: 272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.22 : 362.78 = 197.62 : x
  2. Step 2: Convert to fraction form
    263.22/362.78 = 197.62/x
  3. Step 3: Cross multiply
    263.22x = 362.78 × 197.62
  4. Step 4: Simplify right side
    263.22x = 71,692.58
  5. Step 5: Solve for x
    x = 71,692.58/263.22
  6. Step 6: Final answer
    x = 272.37

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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.