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Finding the Fourth Proportional to 408.18, 612 and 339.42

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Solution

The fourth proportional to 408.18, 612 and 339.42 is: 508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.18 : 612 = 339.42 : x
  2. Step 2: Convert to fraction form
    408.18/612 = 339.42/x
  3. Step 3: Cross multiply
    408.18x = 612 × 339.42
  4. Step 4: Simplify right side
    408.18x = 207,725.04
  5. Step 5: Solve for x
    x = 207,725.04/408.18
  6. Step 6: Final answer
    x = 508.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.