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Finding the Fourth Proportional to 238.20, 359.31 and 234.84

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Solution

The fourth proportional to 238.20, 359.31 and 234.84 is: 354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.20 : 359.31 = 234.84 : x
  2. Step 2: Convert to fraction form
    238.20/359.31 = 234.84/x
  3. Step 3: Cross multiply
    238.20x = 359.31 × 234.84
  4. Step 4: Simplify right side
    238.20x = 84,380.36
  5. Step 5: Solve for x
    x = 84,380.36/238.20
  6. Step 6: Final answer
    x = 354.24

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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.