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Finding the Fourth Proportional to 167.63, 229.65 and 161.48

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Solution

The fourth proportional to 167.63, 229.65 and 161.48 is: 221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.63 : 229.65 = 161.48 : x
  2. Step 2: Convert to fraction form
    167.63/229.65 = 161.48/x
  3. Step 3: Cross multiply
    167.63x = 229.65 × 161.48
  4. Step 4: Simplify right side
    167.63x = 37,083.88
  5. Step 5: Solve for x
    x = 37,083.88/167.63
  6. Step 6: Final answer
    x = 221.22

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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.