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Finding the Fourth Proportional to 238.14, 329.87 and 233.28

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Solution

The fourth proportional to 238.14, 329.87 and 233.28 is: 323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.14 : 329.87 = 233.28 : x
  2. Step 2: Convert to fraction form
    238.14/329.87 = 233.28/x
  3. Step 3: Cross multiply
    238.14x = 329.87 × 233.28
  4. Step 4: Simplify right side
    238.14x = 76,952.66
  5. Step 5: Solve for x
    x = 76,952.66/238.14
  6. Step 6: Final answer
    x = 323.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.