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Finding the Fourth Proportional to 226.60, 310.97 and 212.20

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Solution

The fourth proportional to 226.60, 310.97 and 212.20 is: 291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.60 : 310.97 = 212.20 : x
  2. Step 2: Convert to fraction form
    226.60/310.97 = 212.20/x
  3. Step 3: Cross multiply
    226.60x = 310.97 × 212.20
  4. Step 4: Simplify right side
    226.60x = 65,987.83
  5. Step 5: Solve for x
    x = 65,987.83/226.60
  6. Step 6: Final answer
    x = 291.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.