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Finding the Fourth Proportional to 238.64, 329.27 and 150.09

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Solution

The fourth proportional to 238.64, 329.27 and 150.09 is: 207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.64 : 329.27 = 150.09 : x
  2. Step 2: Convert to fraction form
    238.64/329.27 = 150.09/x
  3. Step 3: Cross multiply
    238.64x = 329.27 × 150.09
  4. Step 4: Simplify right side
    238.64x = 49,419.38
  5. Step 5: Solve for x
    x = 49,419.38/238.64
  6. Step 6: Final answer
    x = 207.09

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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.