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Finding the Fourth Proportional to 227.70, 339.21 and 215.91

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Solution

The fourth proportional to 227.70, 339.21 and 215.91 is: 321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.70 : 339.21 = 215.91 : x
  2. Step 2: Convert to fraction form
    227.70/339.21 = 215.91/x
  3. Step 3: Cross multiply
    227.70x = 339.21 × 215.91
  4. Step 4: Simplify right side
    227.70x = 73,238.83
  5. Step 5: Solve for x
    x = 73,238.83/227.70
  6. Step 6: Final answer
    x = 321.65

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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.