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Finding the Fourth Proportional to 226.77, 341.58 and 213.09

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Solution

The fourth proportional to 226.77, 341.58 and 213.09 is: 320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.77 : 341.58 = 213.09 : x
  2. Step 2: Convert to fraction form
    226.77/341.58 = 213.09/x
  3. Step 3: Cross multiply
    226.77x = 341.58 × 213.09
  4. Step 4: Simplify right side
    226.77x = 72,787.28
  5. Step 5: Solve for x
    x = 72,787.28/226.77
  6. Step 6: Final answer
    x = 320.97

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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.