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Finding the Fourth Proportional to 227.03, 340.31 and 208.80

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Solution

The fourth proportional to 227.03, 340.31 and 208.80 is: 312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.03 : 340.31 = 208.80 : x
  2. Step 2: Convert to fraction form
    227.03/340.31 = 208.80/x
  3. Step 3: Cross multiply
    227.03x = 340.31 × 208.80
  4. Step 4: Simplify right side
    227.03x = 71,055.68
  5. Step 5: Solve for x
    x = 71,055.68/227.03
  6. Step 6: Final answer
    x = 312.99

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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.