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Finding the Fourth Proportional to 552.21, 828.35 and 227.61

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Solution

The fourth proportional to 552.21, 828.35 and 227.61 is: 341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.21 : 828.35 = 227.61 : x
  2. Step 2: Convert to fraction form
    552.21/828.35 = 227.61/x
  3. Step 3: Cross multiply
    552.21x = 828.35 × 227.61
  4. Step 4: Simplify right side
    552.21x = 188,539.61
  5. Step 5: Solve for x
    x = 188,539.61/552.21
  6. Step 6: Final answer
    x = 341.43

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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.