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Finding the Fourth Proportional to 300.22, 411.62 and 292.12

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Solution

The fourth proportional to 300.22, 411.62 and 292.12 is: 400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.22 : 411.62 = 292.12 : x
  2. Step 2: Convert to fraction form
    300.22/411.62 = 292.12/x
  3. Step 3: Cross multiply
    300.22x = 411.62 × 292.12
  4. Step 4: Simplify right side
    300.22x = 120,242.43
  5. Step 5: Solve for x
    x = 120,242.43/300.22
  6. Step 6: Final answer
    x = 400.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.