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Finding the Fourth Proportional to 408.41, 562.47 and 338.77

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Solution

The fourth proportional to 408.41, 562.47 and 338.77 is: 466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.41 : 562.47 = 338.77 : x
  2. Step 2: Convert to fraction form
    408.41/562.47 = 338.77/x
  3. Step 3: Cross multiply
    408.41x = 562.47 × 338.77
  4. Step 4: Simplify right side
    408.41x = 190,546.27
  5. Step 5: Solve for x
    x = 190,546.27/408.41
  6. Step 6: Final answer
    x = 466.56

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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.