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Finding the Fourth Proportional to 411.38, 566.79 and 280.22

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Solution

The fourth proportional to 411.38, 566.79 and 280.22 is: 386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.38 : 566.79 = 280.22 : x
  2. Step 2: Convert to fraction form
    411.38/566.79 = 280.22/x
  3. Step 3: Cross multiply
    411.38x = 566.79 × 280.22
  4. Step 4: Simplify right side
    411.38x = 158,825.89
  5. Step 5: Solve for x
    x = 158,825.89/411.38
  6. Step 6: Final answer
    x = 386.08

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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.