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Finding the Fourth Proportional to 236.90, 326.97 and 149.55

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Solution

The fourth proportional to 236.90, 326.97 and 149.55 is: 206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.90 : 326.97 = 149.55 : x
  2. Step 2: Convert to fraction form
    236.90/326.97 = 149.55/x
  3. Step 3: Cross multiply
    236.90x = 326.97 × 149.55
  4. Step 4: Simplify right side
    236.90x = 48,898.36
  5. Step 5: Solve for x
    x = 48,898.36/236.90
  6. Step 6: Final answer
    x = 206.41

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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.