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Finding the Fourth Proportional to 551.93, 827.69 and 186.62

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Solution

The fourth proportional to 551.93, 827.69 and 186.62 is: 279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.93 : 827.69 = 186.62 : x
  2. Step 2: Convert to fraction form
    551.93/827.69 = 186.62/x
  3. Step 3: Cross multiply
    551.93x = 827.69 × 186.62
  4. Step 4: Simplify right side
    551.93x = 154,458.44
  5. Step 5: Solve for x
    x = 154,458.44/551.93
  6. Step 6: Final answer
    x = 279.85

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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.