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Finding the Fourth Proportional to 408.23, 612.34 and 335.87

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Solution

The fourth proportional to 408.23, 612.34 and 335.87 is: 503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.23 : 612.34 = 335.87 : x
  2. Step 2: Convert to fraction form
    408.23/612.34 = 335.87/x
  3. Step 3: Cross multiply
    408.23x = 612.34 × 335.87
  4. Step 4: Simplify right side
    408.23x = 205,666.64
  5. Step 5: Solve for x
    x = 205,666.64/408.23
  6. Step 6: Final answer
    x = 503.80

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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.