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Finding the Fourth Proportional to 295.96, 408.24 and 213.22

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Solution

The fourth proportional to 295.96, 408.24 and 213.22 is: 294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.96 : 408.24 = 213.22 : x
  2. Step 2: Convert to fraction form
    295.96/408.24 = 213.22/x
  3. Step 3: Cross multiply
    295.96x = 408.24 × 213.22
  4. Step 4: Simplify right side
    295.96x = 87,044.93
  5. Step 5: Solve for x
    x = 87,044.93/295.96
  6. Step 6: Final answer
    x = 294.11

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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.