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Finding the Fourth Proportional to 552.22, 828.31 and 187

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Solution

The fourth proportional to 552.22, 828.31 and 187 is: 280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.22 : 828.31 = 187 : x
  2. Step 2: Convert to fraction form
    552.22/828.31 = 187/x
  3. Step 3: Cross multiply
    552.22x = 828.31 × 187
  4. Step 4: Simplify right side
    552.22x = 154,893.04
  5. Step 5: Solve for x
    x = 154,893.04/552.22
  6. Step 6: Final answer
    x = 280.49

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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.