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Finding the Fourth Proportional to 552.21, 827.87 and 205.32

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Solution

The fourth proportional to 552.21, 827.87 and 205.32 is: 307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.21 : 827.87 = 205.32 : x
  2. Step 2: Convert to fraction form
    552.21/827.87 = 205.32/x
  3. Step 3: Cross multiply
    552.21x = 827.87 × 205.32
  4. Step 4: Simplify right side
    552.21x = 169,977.24
  5. Step 5: Solve for x
    x = 169,977.24/552.21
  6. Step 6: Final answer
    x = 307.81

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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.