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Finding the Fourth Proportional to 411.20, 567 and 280.28

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Solution

The fourth proportional to 411.20, 567 and 280.28 is: 386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.20 : 567 = 280.28 : x
  2. Step 2: Convert to fraction form
    411.20/567 = 280.28/x
  3. Step 3: Cross multiply
    411.20x = 567 × 280.28
  4. Step 4: Simplify right side
    411.20x = 158,918.76
  5. Step 5: Solve for x
    x = 158,918.76/411.20
  6. Step 6: Final answer
    x = 386.48

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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.