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Finding the Fourth Proportional to 406.96, 561.62 and 249.56

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Solution

The fourth proportional to 406.96, 561.62 and 249.56 is: 344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.96 : 561.62 = 249.56 : x
  2. Step 2: Convert to fraction form
    406.96/561.62 = 249.56/x
  3. Step 3: Cross multiply
    406.96x = 561.62 × 249.56
  4. Step 4: Simplify right side
    406.96x = 140,157.89
  5. Step 5: Solve for x
    x = 140,157.89/406.96
  6. Step 6: Final answer
    x = 344.40

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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.