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Finding the Fourth Proportional to 552.78, 829.16 and 187.56

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Solution

The fourth proportional to 552.78, 829.16 and 187.56 is: 281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.78 : 829.16 = 187.56 : x
  2. Step 2: Convert to fraction form
    552.78/829.16 = 187.56/x
  3. Step 3: Cross multiply
    552.78x = 829.16 × 187.56
  4. Step 4: Simplify right side
    552.78x = 155,517.25
  5. Step 5: Solve for x
    x = 155,517.25/552.78
  6. Step 6: Final answer
    x = 281.34

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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.