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Finding the Fourth Proportional to 408.57, 611.64 and 271.14

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Solution

The fourth proportional to 408.57, 611.64 and 271.14 is: 405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.57 : 611.64 = 271.14 : x
  2. Step 2: Convert to fraction form
    408.57/611.64 = 271.14/x
  3. Step 3: Cross multiply
    408.57x = 611.64 × 271.14
  4. Step 4: Simplify right side
    408.57x = 165,840.07
  5. Step 5: Solve for x
    x = 165,840.07/408.57
  6. Step 6: Final answer
    x = 405.90

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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.