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Finding the Fourth Proportional to 227.92, 340.40 and 209.74

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Solution

The fourth proportional to 227.92, 340.40 and 209.74 is: 313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.92 : 340.40 = 209.74 : x
  2. Step 2: Convert to fraction form
    227.92/340.40 = 209.74/x
  3. Step 3: Cross multiply
    227.92x = 340.40 × 209.74
  4. Step 4: Simplify right side
    227.92x = 71,395.50
  5. Step 5: Solve for x
    x = 71,395.50/227.92
  6. Step 6: Final answer
    x = 313.25

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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.