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Finding the Fourth Proportional to 300.86, 415.25 and 251.65

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Solution

The fourth proportional to 300.86, 415.25 and 251.65 is: 347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.86 : 415.25 = 251.65 : x
  2. Step 2: Convert to fraction form
    300.86/415.25 = 251.65/x
  3. Step 3: Cross multiply
    300.86x = 415.25 × 251.65
  4. Step 4: Simplify right side
    300.86x = 104,497.25
  5. Step 5: Solve for x
    x = 104,497.25/300.86
  6. Step 6: Final answer
    x = 347.33

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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.