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Finding the Fourth Proportional to 408.92, 613.62 and 177.76

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Solution

The fourth proportional to 408.92, 613.62 and 177.76 is: 266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.92 : 613.62 = 177.76 : x
  2. Step 2: Convert to fraction form
    408.92/613.62 = 177.76/x
  3. Step 3: Cross multiply
    408.92x = 613.62 × 177.76
  4. Step 4: Simplify right side
    408.92x = 109,077.09
  5. Step 5: Solve for x
    x = 109,077.09/408.92
  6. Step 6: Final answer
    x = 266.74

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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.