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Finding the Fourth Proportional to 236.65, 353.11 and 213.61

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Solution

The fourth proportional to 236.65, 353.11 and 213.61 is: 318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.65 : 353.11 = 213.61 : x
  2. Step 2: Convert to fraction form
    236.65/353.11 = 213.61/x
  3. Step 3: Cross multiply
    236.65x = 353.11 × 213.61
  4. Step 4: Simplify right side
    236.65x = 75,427.83
  5. Step 5: Solve for x
    x = 75,427.83/236.65
  6. Step 6: Final answer
    x = 318.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.