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Finding the Fourth Proportional to 552.05, 827.87 and 161.95

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Solution

The fourth proportional to 552.05, 827.87 and 161.95 is: 242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.05 : 827.87 = 161.95 : x
  2. Step 2: Convert to fraction form
    552.05/827.87 = 161.95/x
  3. Step 3: Cross multiply
    552.05x = 827.87 × 161.95
  4. Step 4: Simplify right side
    552.05x = 134,073.55
  5. Step 5: Solve for x
    x = 134,073.55/552.05
  6. Step 6: Final answer
    x = 242.86

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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.