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Finding the Fourth Proportional to 320, 480.32 and 168.32

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Solution

The fourth proportional to 320, 480.32 and 168.32 is: 252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320 : 480.32 = 168.32 : x
  2. Step 2: Convert to fraction form
    320/480.32 = 168.32/x
  3. Step 3: Cross multiply
    320x = 480.32 × 168.32
  4. Step 4: Simplify right side
    320x = 80,847.46
  5. Step 5: Solve for x
    x = 80,847.46/320
  6. Step 6: Final answer
    x = 252.65

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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.