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Finding the Fourth Proportional to 164.13, 225 and 161.37

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Solution

The fourth proportional to 164.13, 225 and 161.37 is: 221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.13 : 225 = 161.37 : x
  2. Step 2: Convert to fraction form
    164.13/225 = 161.37/x
  3. Step 3: Cross multiply
    164.13x = 225 × 161.37
  4. Step 4: Simplify right side
    164.13x = 36,308.25
  5. Step 5: Solve for x
    x = 36,308.25/164.13
  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.