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Finding the Fourth Proportional to 409.27, 613.66 and 279.43

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Solution

The fourth proportional to 409.27, 613.66 and 279.43 is: 418.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.27 : 613.66 = 279.43 : x
  2. Step 2: Convert to fraction form
    409.27/613.66 = 279.43/x
  3. Step 3: Cross multiply
    409.27x = 613.66 × 279.43
  4. Step 4: Simplify right side
    409.27x = 171,475.01
  5. Step 5: Solve for x
    x = 171,475.01/409.27
  6. Step 6: Final answer
    x = 418.98

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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.