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Finding the Fourth Proportional to 236.34, 353.03 and 209.46

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Solution

The fourth proportional to 236.34, 353.03 and 209.46 is: 312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.34 : 353.03 = 209.46 : x
  2. Step 2: Convert to fraction form
    236.34/353.03 = 209.46/x
  3. Step 3: Cross multiply
    236.34x = 353.03 × 209.46
  4. Step 4: Simplify right side
    236.34x = 73,944.62
  5. Step 5: Solve for x
    x = 73,944.62/236.34
  6. Step 6: Final answer
    x = 312.87

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