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Finding the Fourth Proportional to 551.70, 827.60 and 161.70

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Solution

The fourth proportional to 551.70, 827.60 and 161.70 is: 242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.70 : 827.60 = 161.70 : x
  2. Step 2: Convert to fraction form
    551.70/827.60 = 161.70/x
  3. Step 3: Cross multiply
    551.70x = 827.60 × 161.70
  4. Step 4: Simplify right side
    551.70x = 133,822.72
  5. Step 5: Solve for x
    x = 133,822.72/551.70
  6. Step 6: Final answer
    x = 242.56

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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.