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Finding the Fourth Proportional to 165.59, 227.10 and 161.47

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Solution

The fourth proportional to 165.59, 227.10 and 161.47 is: 221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.59 : 227.10 = 161.47 : x
  2. Step 2: Convert to fraction form
    165.59/227.10 = 161.47/x
  3. Step 3: Cross multiply
    165.59x = 227.10 × 161.47
  4. Step 4: Simplify right side
    165.59x = 36,667.89
  5. Step 5: Solve for x
    x = 36,667.89/165.59
  6. Step 6: Final answer
    x = 221.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.