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Finding the Fourth Proportional to 286.76, 395.60 and 170.25

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Solution

The fourth proportional to 286.76, 395.60 and 170.25 is: 234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.76 : 395.60 = 170.25 : x
  2. Step 2: Convert to fraction form
    286.76/395.60 = 170.25/x
  3. Step 3: Cross multiply
    286.76x = 395.60 × 170.25
  4. Step 4: Simplify right side
    286.76x = 67,350.05
  5. Step 5: Solve for x
    x = 67,350.05/286.76
  6. Step 6: Final answer
    x = 234.87

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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.