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Finding the Fourth Proportional to 551.88, 827.97 and 186.78

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Solution

The fourth proportional to 551.88, 827.97 and 186.78 is: 280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.88 : 827.97 = 186.78 : x
  2. Step 2: Convert to fraction form
    551.88/827.97 = 186.78/x
  3. Step 3: Cross multiply
    551.88x = 827.97 × 186.78
  4. Step 4: Simplify right side
    551.88x = 154,648.24
  5. Step 5: Solve for x
    x = 154,648.24/551.88
  6. Step 6: Final answer
    x = 280.22

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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.