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Finding the Fourth Proportional to 411.22, 567.38 and 234.19

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Solution

The fourth proportional to 411.22, 567.38 and 234.19 is: 323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.22 : 567.38 = 234.19 : x
  2. Step 2: Convert to fraction form
    411.22/567.38 = 234.19/x
  3. Step 3: Cross multiply
    411.22x = 567.38 × 234.19
  4. Step 4: Simplify right side
    411.22x = 132,876.02
  5. Step 5: Solve for x
    x = 132,876.02/411.22
  6. Step 6: Final answer
    x = 323.13

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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.