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Finding the Fourth Proportional to 286.34, 395.09 and 166.65

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Solution

The fourth proportional to 286.34, 395.09 and 166.65 is: 229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.34 : 395.09 = 166.65 : x
  2. Step 2: Convert to fraction form
    286.34/395.09 = 166.65/x
  3. Step 3: Cross multiply
    286.34x = 395.09 × 166.65
  4. Step 4: Simplify right side
    286.34x = 65,840.70
  5. Step 5: Solve for x
    x = 65,840.70/286.34
  6. Step 6: Final answer
    x = 229.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.