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Finding the Fourth Proportional to 300.86, 415.16 and 169.90

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Solution

The fourth proportional to 300.86, 415.16 and 169.90 is: 234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.86 : 415.16 = 169.90 : x
  2. Step 2: Convert to fraction form
    300.86/415.16 = 169.90/x
  3. Step 3: Cross multiply
    300.86x = 415.16 × 169.90
  4. Step 4: Simplify right side
    300.86x = 70,535.68
  5. Step 5: Solve for x
    x = 70,535.68/300.86
  6. Step 6: Final answer
    x = 234.45

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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.