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Finding the Fourth Proportional to 409.00, 613.88 and 254.47

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Solution

The fourth proportional to 409.00, 613.88 and 254.47 is: 381.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.00 : 613.88 = 254.47 : x
  2. Step 2: Convert to fraction form
    409.00/613.88 = 254.47/x
  3. Step 3: Cross multiply
    409.00x = 613.88 × 254.47
  4. Step 4: Simplify right side
    409.00x = 156,211.62
  5. Step 5: Solve for x
    x = 156,211.62/409.00
  6. Step 6: Final answer
    x = 381.94

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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.