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Finding the Fourth Proportional to 263.20, 363.12 and 189.68

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Solution

The fourth proportional to 263.20, 363.12 and 189.68 is: 261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.20 : 363.12 = 189.68 : x
  2. Step 2: Convert to fraction form
    263.20/363.12 = 189.68/x
  3. Step 3: Cross multiply
    263.20x = 363.12 × 189.68
  4. Step 4: Simplify right side
    263.20x = 68,876.60
  5. Step 5: Solve for x
    x = 68,876.60/263.20
  6. Step 6: Final answer
    x = 261.69

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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.