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Finding the Fourth Proportional to 408.61, 611.16 and 298.99

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Solution

The fourth proportional to 408.61, 611.16 and 298.99 is: 447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.61 : 611.16 = 298.99 : x
  2. Step 2: Convert to fraction form
    408.61/611.16 = 298.99/x
  3. Step 3: Cross multiply
    408.61x = 611.16 × 298.99
  4. Step 4: Simplify right side
    408.61x = 182,730.73
  5. Step 5: Solve for x
    x = 182,730.73/408.61
  6. Step 6: Final answer
    x = 447.20

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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.