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Finding the Fourth Proportional to 227.40, 339.69 and 226.32

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Solution

The fourth proportional to 227.40, 339.69 and 226.32 is: 338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.40 : 339.69 = 226.32 : x
  2. Step 2: Convert to fraction form
    227.40/339.69 = 226.32/x
  3. Step 3: Cross multiply
    227.40x = 339.69 × 226.32
  4. Step 4: Simplify right side
    227.40x = 76,878.64
  5. Step 5: Solve for x
    x = 76,878.64/227.40
  6. Step 6: Final answer
    x = 338.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.