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Finding the Fourth Proportional to 227.07, 341.37 and 212.79

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Solution

The fourth proportional to 227.07, 341.37 and 212.79 is: 319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.07 : 341.37 = 212.79 : x
  2. Step 2: Convert to fraction form
    227.07/341.37 = 212.79/x
  3. Step 3: Cross multiply
    227.07x = 341.37 × 212.79
  4. Step 4: Simplify right side
    227.07x = 72,640.12
  5. Step 5: Solve for x
    x = 72,640.12/227.07
  6. Step 6: Final answer
    x = 319.90

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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.