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Finding the Fourth Proportional to 236.19, 354.31 and 82.12

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Solution

The fourth proportional to 236.19, 354.31 and 82.12 is: 123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.19 : 354.31 = 82.12 : x
  2. Step 2: Convert to fraction form
    236.19/354.31 = 82.12/x
  3. Step 3: Cross multiply
    236.19x = 354.31 × 82.12
  4. Step 4: Simplify right side
    236.19x = 29,095.94
  5. Step 5: Solve for x
    x = 29,095.94/236.19
  6. Step 6: Final answer
    x = 123.19

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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.