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Finding the Fourth Proportional to 286.12, 394.50 and 227.08

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Solution

The fourth proportional to 286.12, 394.50 and 227.08 is: 313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.12 : 394.50 = 227.08 : x
  2. Step 2: Convert to fraction form
    286.12/394.50 = 227.08/x
  3. Step 3: Cross multiply
    286.12x = 394.50 × 227.08
  4. Step 4: Simplify right side
    286.12x = 89,583.06
  5. Step 5: Solve for x
    x = 89,583.06/286.12
  6. Step 6: Final answer
    x = 313.10

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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.