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Finding the Fourth Proportional to 169.62, 232.20 and 164.10

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Solution

The fourth proportional to 169.62, 232.20 and 164.10 is: 224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.62 : 232.20 = 164.10 : x
  2. Step 2: Convert to fraction form
    169.62/232.20 = 164.10/x
  3. Step 3: Cross multiply
    169.62x = 232.20 × 164.10
  4. Step 4: Simplify right side
    169.62x = 38,104.02
  5. Step 5: Solve for x
    x = 38,104.02/169.62
  6. Step 6: Final answer
    x = 224.64

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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.