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Finding the Fourth Proportional to 268.37, 401.86 and 222.58

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Solution

The fourth proportional to 268.37, 401.86 and 222.58 is: 333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.37 : 401.86 = 222.58 : x
  2. Step 2: Convert to fraction form
    268.37/401.86 = 222.58/x
  3. Step 3: Cross multiply
    268.37x = 401.86 × 222.58
  4. Step 4: Simplify right side
    268.37x = 89,446.78
  5. Step 5: Solve for x
    x = 89,446.78/268.37
  6. Step 6: Final answer
    x = 333.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.