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Finding the Fourth Proportional to 226.40, 341.15 and 208.71

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Solution

The fourth proportional to 226.40, 341.15 and 208.71 is: 314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.40 : 341.15 = 208.71 : x
  2. Step 2: Convert to fraction form
    226.40/341.15 = 208.71/x
  3. Step 3: Cross multiply
    226.40x = 341.15 × 208.71
  4. Step 4: Simplify right side
    226.40x = 71,200.37
  5. Step 5: Solve for x
    x = 71,200.37/226.40
  6. Step 6: Final answer
    x = 314.50

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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.