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Finding the Fourth Proportional to 360.96, 543.37 and 327.43

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Solution

The fourth proportional to 360.96, 543.37 and 327.43 is: 492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.96 : 543.37 = 327.43 : x
  2. Step 2: Convert to fraction form
    360.96/543.37 = 327.43/x
  3. Step 3: Cross multiply
    360.96x = 543.37 × 327.43
  4. Step 4: Simplify right side
    360.96x = 177,915.64
  5. Step 5: Solve for x
    x = 177,915.64/360.96
  6. Step 6: Final answer
    x = 492.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.