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Finding the Fourth Proportional to 408.33, 562.99 and 338.46

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Solution

The fourth proportional to 408.33, 562.99 and 338.46 is: 466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.33 : 562.99 = 338.46 : x
  2. Step 2: Convert to fraction form
    408.33/562.99 = 338.46/x
  3. Step 3: Cross multiply
    408.33x = 562.99 × 338.46
  4. Step 4: Simplify right side
    408.33x = 190,549.60
  5. Step 5: Solve for x
    x = 190,549.60/408.33
  6. Step 6: Final answer
    x = 466.66

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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.