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Finding the Fourth Proportional to 268.54, 402.23 and 165.85

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Solution

The fourth proportional to 268.54, 402.23 and 165.85 is: 248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.54 : 402.23 = 165.85 : x
  2. Step 2: Convert to fraction form
    268.54/402.23 = 165.85/x
  3. Step 3: Cross multiply
    268.54x = 402.23 × 165.85
  4. Step 4: Simplify right side
    268.54x = 66,709.02
  5. Step 5: Solve for x
    x = 66,709.02/268.54
  6. Step 6: Final answer
    x = 248.41

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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.