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Finding the Fourth Proportional to 408.96, 613.38 and 203.42

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Solution

The fourth proportional to 408.96, 613.38 and 203.42 is: 305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.96 : 613.38 = 203.42 : x
  2. Step 2: Convert to fraction form
    408.96/613.38 = 203.42/x
  3. Step 3: Cross multiply
    408.96x = 613.38 × 203.42
  4. Step 4: Simplify right side
    408.96x = 124,773.76
  5. Step 5: Solve for x
    x = 124,773.76/408.96
  6. Step 6: Final answer
    x = 305.10

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Why These Related Problems?

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