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Finding the Fourth Proportional to 406.67, 609.83 and 214.43

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Solution

The fourth proportional to 406.67, 609.83 and 214.43 is: 321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.67 : 609.83 = 214.43 : x
  2. Step 2: Convert to fraction form
    406.67/609.83 = 214.43/x
  3. Step 3: Cross multiply
    406.67x = 609.83 × 214.43
  4. Step 4: Simplify right side
    406.67x = 130,764.77
  5. Step 5: Solve for x
    x = 130,764.77/406.67
  6. Step 6: Final answer
    x = 321.55

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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.