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Finding the Fourth Proportional to 286.22, 394.90 and 169.76

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Solution

The fourth proportional to 286.22, 394.90 and 169.76 is: 234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.22 : 394.90 = 169.76 : x
  2. Step 2: Convert to fraction form
    286.22/394.90 = 169.76/x
  3. Step 3: Cross multiply
    286.22x = 394.90 × 169.76
  4. Step 4: Simplify right side
    286.22x = 67,038.22
  5. Step 5: Solve for x
    x = 67,038.22/286.22
  6. Step 6: Final answer
    x = 234.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.