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Finding the Fourth Proportional to 358.18, 535.82 and 227.86

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Solution

The fourth proportional to 358.18, 535.82 and 227.86 is: 340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.18 : 535.82 = 227.86 : x
  2. Step 2: Convert to fraction form
    358.18/535.82 = 227.86/x
  3. Step 3: Cross multiply
    358.18x = 535.82 × 227.86
  4. Step 4: Simplify right side
    358.18x = 122,091.95
  5. Step 5: Solve for x
    x = 122,091.95/358.18
  6. Step 6: Final answer
    x = 340.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.