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Finding the Fourth Proportional to 551.97, 827.44 and 205.22

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Solution

The fourth proportional to 551.97, 827.44 and 205.22 is: 307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.97 : 827.44 = 205.22 : x
  2. Step 2: Convert to fraction form
    551.97/827.44 = 205.22/x
  3. Step 3: Cross multiply
    551.97x = 827.44 × 205.22
  4. Step 4: Simplify right side
    551.97x = 169,807.24
  5. Step 5: Solve for x
    x = 169,807.24/551.97
  6. Step 6: Final answer
    x = 307.64

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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.