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Finding the Fourth Proportional to 320.91, 480.32 and 166.61

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Solution

The fourth proportional to 320.91, 480.32 and 166.61 is: 249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.91 : 480.32 = 166.61 : x
  2. Step 2: Convert to fraction form
    320.91/480.32 = 166.61/x
  3. Step 3: Cross multiply
    320.91x = 480.32 × 166.61
  4. Step 4: Simplify right side
    320.91x = 80,027.11
  5. Step 5: Solve for x
    x = 80,027.11/320.91
  6. Step 6: Final answer
    x = 249.38

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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.