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Finding the Fourth Proportional to 408.41, 614.70 and 306.24

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Solution

The fourth proportional to 408.41, 614.70 and 306.24 is: 460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.41 : 614.70 = 306.24 : x
  2. Step 2: Convert to fraction form
    408.41/614.70 = 306.24/x
  3. Step 3: Cross multiply
    408.41x = 614.70 × 306.24
  4. Step 4: Simplify right side
    408.41x = 188,245.73
  5. Step 5: Solve for x
    x = 188,245.73/408.41
  6. Step 6: Final answer
    x = 460.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.