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Finding the Fourth Proportional to 168.08, 232.88 and 164.30

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Solution

The fourth proportional to 168.08, 232.88 and 164.30 is: 227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.08 : 232.88 = 164.30 : x
  2. Step 2: Convert to fraction form
    168.08/232.88 = 164.30/x
  3. Step 3: Cross multiply
    168.08x = 232.88 × 164.30
  4. Step 4: Simplify right side
    168.08x = 38,261.43
  5. Step 5: Solve for x
    x = 38,261.43/168.08
  6. Step 6: Final answer
    x = 227.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.