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Finding the Fourth Proportional to 271.79, 408.02 and 214.21

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Solution

The fourth proportional to 271.79, 408.02 and 214.21 is: 321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.79 : 408.02 = 214.21 : x
  2. Step 2: Convert to fraction form
    271.79/408.02 = 214.21/x
  3. Step 3: Cross multiply
    271.79x = 408.02 × 214.21
  4. Step 4: Simplify right side
    271.79x = 87,401.96
  5. Step 5: Solve for x
    x = 87,401.96/271.79
  6. Step 6: Final answer
    x = 321.58

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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.