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Finding the Fourth Proportional to 227.26, 342.46 and 205.66

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Solution

The fourth proportional to 227.26, 342.46 and 205.66 is: 309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.26 : 342.46 = 205.66 : x
  2. Step 2: Convert to fraction form
    227.26/342.46 = 205.66/x
  3. Step 3: Cross multiply
    227.26x = 342.46 × 205.66
  4. Step 4: Simplify right side
    227.26x = 70,430.11
  5. Step 5: Solve for x
    x = 70,430.11/227.26
  6. Step 6: Final answer
    x = 309.91

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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.