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Finding the Fourth Proportional to 360.46, 540.85 and 168.09

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Solution

The fourth proportional to 360.46, 540.85 and 168.09 is: 252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.46 : 540.85 = 168.09 : x
  2. Step 2: Convert to fraction form
    360.46/540.85 = 168.09/x
  3. Step 3: Cross multiply
    360.46x = 540.85 × 168.09
  4. Step 4: Simplify right side
    360.46x = 90,911.48
  5. Step 5: Solve for x
    x = 90,911.48/360.46
  6. Step 6: Final answer
    x = 252.21

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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.