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Finding the Fourth Proportional to 408.33, 612.36 and 134.35

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Solution

The fourth proportional to 408.33, 612.36 and 134.35 is: 201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.33 : 612.36 = 134.35 : x
  2. Step 2: Convert to fraction form
    408.33/612.36 = 134.35/x
  3. Step 3: Cross multiply
    408.33x = 612.36 × 134.35
  4. Step 4: Simplify right side
    408.33x = 82,270.57
  5. Step 5: Solve for x
    x = 82,270.57/408.33
  6. Step 6: Final answer
    x = 201.48

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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.