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Finding the Fourth Proportional to 666.56, 998.96 and 255.48

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Solution

The fourth proportional to 666.56, 998.96 and 255.48 is: 382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.56 : 998.96 = 255.48 : x
  2. Step 2: Convert to fraction form
    666.56/998.96 = 255.48/x
  3. Step 3: Cross multiply
    666.56x = 998.96 × 255.48
  4. Step 4: Simplify right side
    666.56x = 255,213.02
  5. Step 5: Solve for x
    x = 255,213.02/666.56
  6. Step 6: Final answer
    x = 382.88

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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.