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Finding the Fourth Proportional to 263.41, 363.27 and 165.18

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Solution

The fourth proportional to 263.41, 363.27 and 165.18 is: 227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.41 : 363.27 = 165.18 : x
  2. Step 2: Convert to fraction form
    263.41/363.27 = 165.18/x
  3. Step 3: Cross multiply
    263.41x = 363.27 × 165.18
  4. Step 4: Simplify right side
    263.41x = 60,004.94
  5. Step 5: Solve for x
    x = 60,004.94/263.41
  6. Step 6: Final answer
    x = 227.80

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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.