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Finding the Fourth Proportional to 320.85, 481.01 and 138.22

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Solution

The fourth proportional to 320.85, 481.01 and 138.22 is: 207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.85 : 481.01 = 138.22 : x
  2. Step 2: Convert to fraction form
    320.85/481.01 = 138.22/x
  3. Step 3: Cross multiply
    320.85x = 481.01 × 138.22
  4. Step 4: Simplify right side
    320.85x = 66,487.18
  5. Step 5: Solve for x
    x = 66,487.18/320.85
  6. Step 6: Final answer
    x = 207.22

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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.