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Finding the Fourth Proportional to 271.49, 406.63 and 206.39

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Solution

The fourth proportional to 271.49, 406.63 and 206.39 is: 309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.49 : 406.63 = 206.39 : x
  2. Step 2: Convert to fraction form
    271.49/406.63 = 206.39/x
  3. Step 3: Cross multiply
    271.49x = 406.63 × 206.39
  4. Step 4: Simplify right side
    271.49x = 83,924.87
  5. Step 5: Solve for x
    x = 83,924.87/271.49
  6. Step 6: Final answer
    x = 309.12

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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.