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Finding the Fourth Proportional to 286.20, 394.06 and 237

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Solution

The fourth proportional to 286.20, 394.06 and 237 is: 326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.20 : 394.06 = 237 : x
  2. Step 2: Convert to fraction form
    286.20/394.06 = 237/x
  3. Step 3: Cross multiply
    286.20x = 394.06 × 237
  4. Step 4: Simplify right side
    286.20x = 93,392.22
  5. Step 5: Solve for x
    x = 93,392.22/286.20
  6. Step 6: Final answer
    x = 326.32

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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.