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Finding the Fourth Proportional to 453.49, 680.46 and 179.81

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Solution

The fourth proportional to 453.49, 680.46 and 179.81 is: 269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.49 : 680.46 = 179.81 : x
  2. Step 2: Convert to fraction form
    453.49/680.46 = 179.81/x
  3. Step 3: Cross multiply
    453.49x = 680.46 × 179.81
  4. Step 4: Simplify right side
    453.49x = 122,355.21
  5. Step 5: Solve for x
    x = 122,355.21/453.49
  6. Step 6: Final answer
    x = 269.81

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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.