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Finding the Fourth Proportional to 320.92, 481.50 and 166.75

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Solution

The fourth proportional to 320.92, 481.50 and 166.75 is: 250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.92 : 481.50 = 166.75 : x
  2. Step 2: Convert to fraction form
    320.92/481.50 = 166.75/x
  3. Step 3: Cross multiply
    320.92x = 481.50 × 166.75
  4. Step 4: Simplify right side
    320.92x = 80,290.13
  5. Step 5: Solve for x
    x = 80,290.13/320.92
  6. Step 6: Final answer
    x = 250.19

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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.