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Finding the Fourth Proportional to 164.28, 246.39 and 132.42

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Solution

The fourth proportional to 164.28, 246.39 and 132.42 is: 198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.28 : 246.39 = 132.42 : x
  2. Step 2: Convert to fraction form
    164.28/246.39 = 132.42/x
  3. Step 3: Cross multiply
    164.28x = 246.39 × 132.42
  4. Step 4: Simplify right side
    164.28x = 32,626.96
  5. Step 5: Solve for x
    x = 32,626.96/164.28
  6. Step 6: Final answer
    x = 198.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.