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Finding the Fourth Proportional to 238.44, 329.88 and 209.40

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Solution

The fourth proportional to 238.44, 329.88 and 209.40 is: 289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.44 : 329.88 = 209.40 : x
  2. Step 2: Convert to fraction form
    238.44/329.88 = 209.40/x
  3. Step 3: Cross multiply
    238.44x = 329.88 × 209.40
  4. Step 4: Simplify right side
    238.44x = 69,076.87
  5. Step 5: Solve for x
    x = 69,076.87/238.44
  6. Step 6: Final answer
    x = 289.70

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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.