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Finding the Fourth Proportional to 453.96, 680.92 and 180.04

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Solution

The fourth proportional to 453.96, 680.92 and 180.04 is: 270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.96 : 680.92 = 180.04 : x
  2. Step 2: Convert to fraction form
    453.96/680.92 = 180.04/x
  3. Step 3: Cross multiply
    453.96x = 680.92 × 180.04
  4. Step 4: Simplify right side
    453.96x = 122,592.84
  5. Step 5: Solve for x
    x = 122,592.84/453.96
  6. Step 6: Final answer
    x = 270.05

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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.