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Finding the Fourth Proportional to 406.97, 561.68 and 249.68

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Solution

The fourth proportional to 406.97, 561.68 and 249.68 is: 344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.97 : 561.68 = 249.68 : x
  2. Step 2: Convert to fraction form
    406.97/561.68 = 249.68/x
  3. Step 3: Cross multiply
    406.97x = 561.68 × 249.68
  4. Step 4: Simplify right side
    406.97x = 140,240.42
  5. Step 5: Solve for x
    x = 140,240.42/406.97
  6. Step 6: Final answer
    x = 344.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.