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Finding the Fourth Proportional to 426.54, 639.97 and 179.81

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Solution

The fourth proportional to 426.54, 639.97 and 179.81 is: 269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.54 : 639.97 = 179.81 : x
  2. Step 2: Convert to fraction form
    426.54/639.97 = 179.81/x
  3. Step 3: Cross multiply
    426.54x = 639.97 × 179.81
  4. Step 4: Simplify right side
    426.54x = 115,072.81
  5. Step 5: Solve for x
    x = 115,072.81/426.54
  6. Step 6: Final answer
    x = 269.78

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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.