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Finding the Fourth Proportional to 271.69, 409.62 and 218.23

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Solution

The fourth proportional to 271.69, 409.62 and 218.23 is: 329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.69 : 409.62 = 218.23 : x
  2. Step 2: Convert to fraction form
    271.69/409.62 = 218.23/x
  3. Step 3: Cross multiply
    271.69x = 409.62 × 218.23
  4. Step 4: Simplify right side
    271.69x = 89,391.17
  5. Step 5: Solve for x
    x = 89,391.17/271.69
  6. Step 6: Final answer
    x = 329.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.