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Finding the Fourth Proportional to 263.40, 363.66 and 163.92

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Solution

The fourth proportional to 263.40, 363.66 and 163.92 is: 226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.40 : 363.66 = 163.92 : x
  2. Step 2: Convert to fraction form
    263.40/363.66 = 163.92/x
  3. Step 3: Cross multiply
    263.40x = 363.66 × 163.92
  4. Step 4: Simplify right side
    263.40x = 59,611.15
  5. Step 5: Solve for x
    x = 59,611.15/263.40
  6. Step 6: Final answer
    x = 226.31

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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.