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Finding the Fourth Proportional to 406.16, 609.64 and 213.92

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Solution

The fourth proportional to 406.16, 609.64 and 213.92 is: 321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.16 : 609.64 = 213.92 : x
  2. Step 2: Convert to fraction form
    406.16/609.64 = 213.92/x
  3. Step 3: Cross multiply
    406.16x = 609.64 × 213.92
  4. Step 4: Simplify right side
    406.16x = 130,414.19
  5. Step 5: Solve for x
    x = 130,414.19/406.16
  6. Step 6: Final answer
    x = 321.09

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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.