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Finding the Fourth Proportional to 408.69, 612.81 and 134.71

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Solution

The fourth proportional to 408.69, 612.81 and 134.71 is: 201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.69 : 612.81 = 134.71 : x
  2. Step 2: Convert to fraction form
    408.69/612.81 = 134.71/x
  3. Step 3: Cross multiply
    408.69x = 612.81 × 134.71
  4. Step 4: Simplify right side
    408.69x = 82,551.64
  5. Step 5: Solve for x
    x = 82,551.64/408.69
  6. Step 6: Final answer
    x = 201.99

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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.