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Finding the Fourth Proportional to 406.42, 609.49 and 132.44

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Solution

The fourth proportional to 406.42, 609.49 and 132.44 is: 198.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.42 : 609.49 = 132.44 : x
  2. Step 2: Convert to fraction form
    406.42/609.49 = 132.44/x
  3. Step 3: Cross multiply
    406.42x = 609.49 × 132.44
  4. Step 4: Simplify right side
    406.42x = 80,720.19
  5. Step 5: Solve for x
    x = 80,720.19/406.42
  6. Step 6: Final answer
    x = 198.62

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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.