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Finding the Fourth Proportional to 451.38, 675.38 and 321.68

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Solution

The fourth proportional to 451.38, 675.38 and 321.68 is: 481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.38 : 675.38 = 321.68 : x
  2. Step 2: Convert to fraction form
    451.38/675.38 = 321.68/x
  3. Step 3: Cross multiply
    451.38x = 675.38 × 321.68
  4. Step 4: Simplify right side
    451.38x = 217,256.24
  5. Step 5: Solve for x
    x = 217,256.24/451.38
  6. Step 6: Final answer
    x = 481.32

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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.