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Finding the Fourth Proportional to 411.68, 568.38 and 306.65

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Solution

The fourth proportional to 411.68, 568.38 and 306.65 is: 423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.68 : 568.38 = 306.65 : x
  2. Step 2: Convert to fraction form
    411.68/568.38 = 306.65/x
  3. Step 3: Cross multiply
    411.68x = 568.38 × 306.65
  4. Step 4: Simplify right side
    411.68x = 174,295.15
  5. Step 5: Solve for x
    x = 174,295.15/411.68
  6. Step 6: Final answer
    x = 423.37

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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.