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Finding the Fourth Proportional to 169.23, 232.88 and 164.48

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Solution

The fourth proportional to 169.23, 232.88 and 164.48 is: 226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.23 : 232.88 = 164.48 : x
  2. Step 2: Convert to fraction form
    169.23/232.88 = 164.48/x
  3. Step 3: Cross multiply
    169.23x = 232.88 × 164.48
  4. Step 4: Simplify right side
    169.23x = 38,302.12
  5. Step 5: Solve for x
    x = 38,302.12/169.23
  6. Step 6: Final answer
    x = 226.33

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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.