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Finding the Fourth Proportional to 226.40, 310.59 and 212.43

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Solution

The fourth proportional to 226.40, 310.59 and 212.43 is: 291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.40 : 310.59 = 212.43 : x
  2. Step 2: Convert to fraction form
    226.40/310.59 = 212.43/x
  3. Step 3: Cross multiply
    226.40x = 310.59 × 212.43
  4. Step 4: Simplify right side
    226.40x = 65,978.63
  5. Step 5: Solve for x
    x = 65,978.63/226.40
  6. Step 6: Final answer
    x = 291.43

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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.