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Finding the Fourth Proportional to 286.05, 394.76 and 169.59

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Solution

The fourth proportional to 286.05, 394.76 and 169.59 is: 234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.05 : 394.76 = 169.59 : x
  2. Step 2: Convert to fraction form
    286.05/394.76 = 169.59/x
  3. Step 3: Cross multiply
    286.05x = 394.76 × 169.59
  4. Step 4: Simplify right side
    286.05x = 66,946.50
  5. Step 5: Solve for x
    x = 66,946.50/286.05
  6. Step 6: Final answer
    x = 234.04

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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.