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Finding the Fourth Proportional to 226.64, 341.18 and 206.80

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Solution

The fourth proportional to 226.64, 341.18 and 206.80 is: 311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.64 : 341.18 = 206.80 : x
  2. Step 2: Convert to fraction form
    226.64/341.18 = 206.80/x
  3. Step 3: Cross multiply
    226.64x = 341.18 × 206.80
  4. Step 4: Simplify right side
    226.64x = 70,556.02
  5. Step 5: Solve for x
    x = 70,556.02/226.64
  6. Step 6: Final answer
    x = 311.31

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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.