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Finding the Fourth Proportional to 552.25, 828.43 and 187.04

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Solution

The fourth proportional to 552.25, 828.43 and 187.04 is: 280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.25 : 828.43 = 187.04 : x
  2. Step 2: Convert to fraction form
    552.25/828.43 = 187.04/x
  3. Step 3: Cross multiply
    552.25x = 828.43 × 187.04
  4. Step 4: Simplify right side
    552.25x = 154,949.55
  5. Step 5: Solve for x
    x = 154,949.55/552.25
  6. Step 6: Final answer
    x = 280.58

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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.