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Finding the Fourth Proportional to 408.38, 612.77 and 271.35

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Solution

The fourth proportional to 408.38, 612.77 and 271.35 is: 407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.38 : 612.77 = 271.35 : x
  2. Step 2: Convert to fraction form
    408.38/612.77 = 271.35/x
  3. Step 3: Cross multiply
    408.38x = 612.77 × 271.35
  4. Step 4: Simplify right side
    408.38x = 166,273.78
  5. Step 5: Solve for x
    x = 166,273.78/408.38
  6. Step 6: Final answer
    x = 407.16

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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.