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Finding the Fourth Proportional to 666.25, 998.63 and 227.09

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Solution

The fourth proportional to 666.25, 998.63 and 227.09 is: 340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.25 : 998.63 = 227.09 : x
  2. Step 2: Convert to fraction form
    666.25/998.63 = 227.09/x
  3. Step 3: Cross multiply
    666.25x = 998.63 × 227.09
  4. Step 4: Simplify right side
    666.25x = 226,778.89
  5. Step 5: Solve for x
    x = 226,778.89/666.25
  6. Step 6: Final answer
    x = 340.38

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1.5x scale

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.