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Finding the Fourth Proportional to 226.48, 310.40 and 223.60

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Solution

The fourth proportional to 226.48, 310.40 and 223.60 is: 306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.48 : 310.40 = 223.60 : x
  2. Step 2: Convert to fraction form
    226.48/310.40 = 223.60/x
  3. Step 3: Cross multiply
    226.48x = 310.40 × 223.60
  4. Step 4: Simplify right side
    226.48x = 69,405.44
  5. Step 5: Solve for x
    x = 69,405.44/226.48
  6. Step 6: Final answer
    x = 306.45

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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.