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Finding the Fourth Proportional to 552.29, 828.27 and 187.07

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Solution

The fourth proportional to 552.29, 828.27 and 187.07 is: 280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.29 : 828.27 = 187.07 : x
  2. Step 2: Convert to fraction form
    552.29/828.27 = 187.07/x
  3. Step 3: Cross multiply
    552.29x = 828.27 × 187.07
  4. Step 4: Simplify right side
    552.29x = 154,940.33
  5. Step 5: Solve for x
    x = 154,940.33/552.29
  6. Step 6: Final answer
    x = 280.54

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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.