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Finding the Fourth Proportional to 552.44, 827.54 and 278.15

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Solution

The fourth proportional to 552.44, 827.54 and 278.15 is: 416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.44 : 827.54 = 278.15 : x
  2. Step 2: Convert to fraction form
    552.44/827.54 = 278.15/x
  3. Step 3: Cross multiply
    552.44x = 827.54 × 278.15
  4. Step 4: Simplify right side
    552.44x = 230,174.72
  5. Step 5: Solve for x
    x = 230,174.72/552.44
  6. Step 6: Final answer
    x = 416.65

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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.