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Finding the Fourth Proportional to 411.26, 567.42 and 280.64

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Solution

The fourth proportional to 411.26, 567.42 and 280.64 is: 387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.26 : 567.42 = 280.64 : x
  2. Step 2: Convert to fraction form
    411.26/567.42 = 280.64/x
  3. Step 3: Cross multiply
    411.26x = 567.42 × 280.64
  4. Step 4: Simplify right side
    411.26x = 159,240.75
  5. Step 5: Solve for x
    x = 159,240.75/411.26
  6. Step 6: Final answer
    x = 387.20

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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.