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Finding the Fourth Proportional to 238.30, 329.19 and 221.02

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Solution

The fourth proportional to 238.30, 329.19 and 221.02 is: 305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.30 : 329.19 = 221.02 : x
  2. Step 2: Convert to fraction form
    238.30/329.19 = 221.02/x
  3. Step 3: Cross multiply
    238.30x = 329.19 × 221.02
  4. Step 4: Simplify right side
    238.30x = 72,757.57
  5. Step 5: Solve for x
    x = 72,757.57/238.30
  6. Step 6: Final answer
    x = 305.32

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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.