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Finding the Fourth Proportional to 236.41, 353.72 and 212.43

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Solution

The fourth proportional to 236.41, 353.72 and 212.43 is: 317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.41 : 353.72 = 212.43 : x
  2. Step 2: Convert to fraction form
    236.41/353.72 = 212.43/x
  3. Step 3: Cross multiply
    236.41x = 353.72 × 212.43
  4. Step 4: Simplify right side
    236.41x = 75,139.32
  5. Step 5: Solve for x
    x = 75,139.32/236.41
  6. Step 6: Final answer
    x = 317.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.