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Finding the Fourth Proportional to 456.22, 628.41 and 323.22

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Solution

The fourth proportional to 456.22, 628.41 and 323.22 is: 445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.22 : 628.41 = 323.22 : x
  2. Step 2: Convert to fraction form
    456.22/628.41 = 323.22/x
  3. Step 3: Cross multiply
    456.22x = 628.41 × 323.22
  4. Step 4: Simplify right side
    456.22x = 203,114.68
  5. Step 5: Solve for x
    x = 203,114.68/456.22
  6. Step 6: Final answer
    x = 445.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.