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Finding the Fourth Proportional to 236.31, 326.13 and 138.06

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Solution

The fourth proportional to 236.31, 326.13 and 138.06 is: 190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.31 : 326.13 = 138.06 : x
  2. Step 2: Convert to fraction form
    236.31/326.13 = 138.06/x
  3. Step 3: Cross multiply
    236.31x = 326.13 × 138.06
  4. Step 4: Simplify right side
    236.31x = 45,025.51
  5. Step 5: Solve for x
    x = 45,025.51/236.31
  6. Step 6: Final answer
    x = 190.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.