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Finding the Fourth Proportional to 411.42, 567.82 and 280.70

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Solution

The fourth proportional to 411.42, 567.82 and 280.70 is: 387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.42 : 567.82 = 280.70 : x
  2. Step 2: Convert to fraction form
    411.42/567.82 = 280.70/x
  3. Step 3: Cross multiply
    411.42x = 567.82 × 280.70
  4. Step 4: Simplify right side
    411.42x = 159,387.07
  5. Step 5: Solve for x
    x = 159,387.07/411.42
  6. Step 6: Final answer
    x = 387.41

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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.