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Finding the Fourth Proportional to 321.22, 481.90 and 104.82

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Solution

The fourth proportional to 321.22, 481.90 and 104.82 is: 157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.22 : 481.90 = 104.82 : x
  2. Step 2: Convert to fraction form
    321.22/481.90 = 104.82/x
  3. Step 3: Cross multiply
    321.22x = 481.90 × 104.82
  4. Step 4: Simplify right side
    321.22x = 50,512.76
  5. Step 5: Solve for x
    x = 50,512.76/321.22
  6. Step 6: Final answer
    x = 157.25

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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.