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Finding the Fourth Proportional to 445.17, 667.85 and 214.22

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Solution

The fourth proportional to 445.17, 667.85 and 214.22 is: 321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.17 : 667.85 = 214.22 : x
  2. Step 2: Convert to fraction form
    445.17/667.85 = 214.22/x
  3. Step 3: Cross multiply
    445.17x = 667.85 × 214.22
  4. Step 4: Simplify right side
    445.17x = 143,065.55
  5. Step 5: Solve for x
    x = 143,065.55/445.17
  6. Step 6: Final answer
    x = 321.37

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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.