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Finding the Fourth Proportional to 411.27, 568.28 and 329.06

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Solution

The fourth proportional to 411.27, 568.28 and 329.06 is: 454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.27 : 568.28 = 329.06 : x
  2. Step 2: Convert to fraction form
    411.27/568.28 = 329.06/x
  3. Step 3: Cross multiply
    411.27x = 568.28 × 329.06
  4. Step 4: Simplify right side
    411.27x = 186,996.80
  5. Step 5: Solve for x
    x = 186,996.80/411.27
  6. Step 6: Final answer
    x = 454.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.