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Finding the Fourth Proportional to 639.60, 959.40 and 255.12

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Solution

The fourth proportional to 639.60, 959.40 and 255.12 is: 382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.60 : 959.40 = 255.12 : x
  2. Step 2: Convert to fraction form
    639.60/959.40 = 255.12/x
  3. Step 3: Cross multiply
    639.60x = 959.40 × 255.12
  4. Step 4: Simplify right side
    639.60x = 244,764.72
  5. Step 5: Solve for x
    x = 244,764.72/639.60
  6. Step 6: Final answer
    x = 382.68

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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.