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Finding the Fourth Proportional to 271.68, 406.40 and 206.64

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Solution

The fourth proportional to 271.68, 406.40 and 206.64 is: 309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.68 : 406.40 = 206.64 : x
  2. Step 2: Convert to fraction form
    271.68/406.40 = 206.64/x
  3. Step 3: Cross multiply
    271.68x = 406.40 × 206.64
  4. Step 4: Simplify right side
    271.68x = 83,978.50
  5. Step 5: Solve for x
    x = 83,978.50/271.68
  6. Step 6: Final answer
    x = 309.11

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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.