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Finding the Fourth Proportional to 268.56, 400.89 and 227.60

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Solution

The fourth proportional to 268.56, 400.89 and 227.60 is: 339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.56 : 400.89 = 227.60 : x
  2. Step 2: Convert to fraction form
    268.56/400.89 = 227.60/x
  3. Step 3: Cross multiply
    268.56x = 400.89 × 227.60
  4. Step 4: Simplify right side
    268.56x = 91,242.56
  5. Step 5: Solve for x
    x = 91,242.56/268.56
  6. Step 6: Final answer
    x = 339.75

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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.