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Finding the Fourth Proportional to 226.53, 310.27 and 213.23

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Solution

The fourth proportional to 226.53, 310.27 and 213.23 is: 292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.53 : 310.27 = 213.23 : x
  2. Step 2: Convert to fraction form
    226.53/310.27 = 213.23/x
  3. Step 3: Cross multiply
    226.53x = 310.27 × 213.23
  4. Step 4: Simplify right side
    226.53x = 66,159.78
  5. Step 5: Solve for x
    x = 66,159.78/226.53
  6. Step 6: Final answer
    x = 292.06

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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.