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Finding the Fourth Proportional to 411.11, 567.31 and 229.20

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Solution

The fourth proportional to 411.11, 567.31 and 229.20 is: 316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.11 : 567.31 = 229.20 : x
  2. Step 2: Convert to fraction form
    411.11/567.31 = 229.20/x
  3. Step 3: Cross multiply
    411.11x = 567.31 × 229.20
  4. Step 4: Simplify right side
    411.11x = 130,027.45
  5. Step 5: Solve for x
    x = 130,027.45/411.11
  6. Step 6: Final answer
    x = 316.28

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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.