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Finding the Fourth Proportional to 238.46, 359.16 and 221.56

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Solution

The fourth proportional to 238.46, 359.16 and 221.56 is: 333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.46 : 359.16 = 221.56 : x
  2. Step 2: Convert to fraction form
    238.46/359.16 = 221.56/x
  3. Step 3: Cross multiply
    238.46x = 359.16 × 221.56
  4. Step 4: Simplify right side
    238.46x = 79,576.04
  5. Step 5: Solve for x
    x = 79,576.04/238.46
  6. Step 6: Final answer
    x = 333.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.