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Finding the Fourth Proportional to 236.06, 353.82 and 120.32

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Solution

The fourth proportional to 236.06, 353.82 and 120.32 is: 180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.06 : 353.82 = 120.32 : x
  2. Step 2: Convert to fraction form
    236.06/353.82 = 120.32/x
  3. Step 3: Cross multiply
    236.06x = 353.82 × 120.32
  4. Step 4: Simplify right side
    236.06x = 42,571.62
  5. Step 5: Solve for x
    x = 42,571.62/236.06
  6. Step 6: Final answer
    x = 180.34

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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.