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Finding the Fourth Proportional to 411.30, 566.63 and 286.73

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Solution

The fourth proportional to 411.30, 566.63 and 286.73 is: 395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.30 : 566.63 = 286.73 : x
  2. Step 2: Convert to fraction form
    411.30/566.63 = 286.73/x
  3. Step 3: Cross multiply
    411.30x = 566.63 × 286.73
  4. Step 4: Simplify right side
    411.30x = 162,469.80
  5. Step 5: Solve for x
    x = 162,469.80/411.30
  6. Step 6: Final answer
    x = 395.02

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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.