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Finding the Fourth Proportional to 411.24, 568.06 and 382.08

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Solution

The fourth proportional to 411.24, 568.06 and 382.08 is: 527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.24 : 568.06 = 382.08 : x
  2. Step 2: Convert to fraction form
    411.24/568.06 = 382.08/x
  3. Step 3: Cross multiply
    411.24x = 568.06 × 382.08
  4. Step 4: Simplify right side
    411.24x = 217,044.36
  5. Step 5: Solve for x
    x = 217,044.36/411.24
  6. Step 6: Final answer
    x = 527.78

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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.