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Finding the Fourth Proportional to 165.39, 227.77 and 161.80

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Solution

The fourth proportional to 165.39, 227.77 and 161.80 is: 222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.39 : 227.77 = 161.80 : x
  2. Step 2: Convert to fraction form
    165.39/227.77 = 161.80/x
  3. Step 3: Cross multiply
    165.39x = 227.77 × 161.80
  4. Step 4: Simplify right side
    165.39x = 36,854.31
  5. Step 5: Solve for x
    x = 36,854.31/165.39
  6. Step 6: Final answer
    x = 222.83

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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.