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Finding the Fourth Proportional to 238.23, 329.66 and 203.21

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Solution

The fourth proportional to 238.23, 329.66 and 203.21 is: 281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.23 : 329.66 = 203.21 : x
  2. Step 2: Convert to fraction form
    238.23/329.66 = 203.21/x
  3. Step 3: Cross multiply
    238.23x = 329.66 × 203.21
  4. Step 4: Simplify right side
    238.23x = 66,988.56
  5. Step 5: Solve for x
    x = 66,988.56/238.23
  6. Step 6: Final answer
    x = 281.19

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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.