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Finding the Fourth Proportional to 444.83, 667.31 and 213.84

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Solution

The fourth proportional to 444.83, 667.31 and 213.84 is: 320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.83 : 667.31 = 213.84 : x
  2. Step 2: Convert to fraction form
    444.83/667.31 = 213.84/x
  3. Step 3: Cross multiply
    444.83x = 667.31 × 213.84
  4. Step 4: Simplify right side
    444.83x = 142,696.50
  5. Step 5: Solve for x
    x = 142,696.50/444.83
  6. Step 6: Final answer
    x = 320.79

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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.