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Finding the Fourth Proportional to 238.05, 354.57 and 227.52

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Solution

The fourth proportional to 238.05, 354.57 and 227.52 is: 338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.05 : 354.57 = 227.52 : x
  2. Step 2: Convert to fraction form
    238.05/354.57 = 227.52/x
  3. Step 3: Cross multiply
    238.05x = 354.57 × 227.52
  4. Step 4: Simplify right side
    238.05x = 80,671.77
  5. Step 5: Solve for x
    x = 80,671.77/238.05
  6. Step 6: Final answer
    x = 338.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.