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Finding the Fourth Proportional to 238.15, 359.17 and 227.35

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Solution

The fourth proportional to 238.15, 359.17 and 227.35 is: 342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.15 : 359.17 = 227.35 : x
  2. Step 2: Convert to fraction form
    238.15/359.17 = 227.35/x
  3. Step 3: Cross multiply
    238.15x = 359.17 × 227.35
  4. Step 4: Simplify right side
    238.15x = 81,657.30
  5. Step 5: Solve for x
    x = 81,657.30/238.15
  6. Step 6: Final answer
    x = 342.88

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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.