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Finding the Fourth Proportional to 300.94, 415.28 and 169.94

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Solution

The fourth proportional to 300.94, 415.28 and 169.94 is: 234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.94 : 415.28 = 169.94 : x
  2. Step 2: Convert to fraction form
    300.94/415.28 = 169.94/x
  3. Step 3: Cross multiply
    300.94x = 415.28 × 169.94
  4. Step 4: Simplify right side
    300.94x = 70,574.15
  5. Step 5: Solve for x
    x = 70,574.15/300.94
  6. Step 6: Final answer
    x = 234.51

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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.