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Finding the Fourth Proportional to 409.91, 613.90 and 214.44

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Solution

The fourth proportional to 409.91, 613.90 and 214.44 is: 321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.91 : 613.90 = 214.44 : x
  2. Step 2: Convert to fraction form
    409.91/613.90 = 214.44/x
  3. Step 3: Cross multiply
    409.91x = 613.90 × 214.44
  4. Step 4: Simplify right side
    409.91x = 131,643.64
  5. Step 5: Solve for x
    x = 131,643.64/409.91
  6. Step 6: Final answer
    x = 321.16

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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.