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Finding the Fourth Proportional to 551.52, 827.09 and 186.22

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Solution

The fourth proportional to 551.52, 827.09 and 186.22 is: 279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.52 : 827.09 = 186.22 : x
  2. Step 2: Convert to fraction form
    551.52/827.09 = 186.22/x
  3. Step 3: Cross multiply
    551.52x = 827.09 × 186.22
  4. Step 4: Simplify right side
    551.52x = 154,020.70
  5. Step 5: Solve for x
    x = 154,020.70/551.52
  6. Step 6: Final answer
    x = 279.27

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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.