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Finding the Fourth Proportional to 268.34, 402.56 and 85.73

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Solution

The fourth proportional to 268.34, 402.56 and 85.73 is: 128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.34 : 402.56 = 85.73 : x
  2. Step 2: Convert to fraction form
    268.34/402.56 = 85.73/x
  3. Step 3: Cross multiply
    268.34x = 402.56 × 85.73
  4. Step 4: Simplify right side
    268.34x = 34,512.69
  5. Step 5: Solve for x
    x = 34,512.69/268.34
  6. Step 6: Final answer
    x = 128.62

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