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Finding the Fourth Proportional to 252.83, 379.03 and 122.65

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Solution

The fourth proportional to 252.83, 379.03 and 122.65 is: 183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.83 : 379.03 = 122.65 : x
  2. Step 2: Convert to fraction form
    252.83/379.03 = 122.65/x
  3. Step 3: Cross multiply
    252.83x = 379.03 × 122.65
  4. Step 4: Simplify right side
    252.83x = 46,488.07
  5. Step 5: Solve for x
    x = 46,488.07/252.83
  6. Step 6: Final answer
    x = 183.87

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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.