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Finding the Fourth Proportional to 409.28, 613.76 and 214.13

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Solution

The fourth proportional to 409.28, 613.76 and 214.13 is: 321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.28 : 613.76 = 214.13 : x
  2. Step 2: Convert to fraction form
    409.28/613.76 = 214.13/x
  3. Step 3: Cross multiply
    409.28x = 613.76 × 214.13
  4. Step 4: Simplify right side
    409.28x = 131,420.29
  5. Step 5: Solve for x
    x = 131,420.29/409.28
  6. Step 6: Final answer
    x = 321.11

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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.