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Finding the Fourth Proportional to 411.15, 567.49 and 234.21

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Solution

The fourth proportional to 411.15, 567.49 and 234.21 is: 323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.15 : 567.49 = 234.21 : x
  2. Step 2: Convert to fraction form
    411.15/567.49 = 234.21/x
  3. Step 3: Cross multiply
    411.15x = 567.49 × 234.21
  4. Step 4: Simplify right side
    411.15x = 132,912.13
  5. Step 5: Solve for x
    x = 132,912.13/411.15
  6. Step 6: Final answer
    x = 323.27

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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.