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Finding the Fourth Proportional to 286.34, 394.97 and 186.71

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Solution

The fourth proportional to 286.34, 394.97 and 186.71 is: 257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.34 : 394.97 = 186.71 : x
  2. Step 2: Convert to fraction form
    286.34/394.97 = 186.71/x
  3. Step 3: Cross multiply
    286.34x = 394.97 × 186.71
  4. Step 4: Simplify right side
    286.34x = 73,741.94
  5. Step 5: Solve for x
    x = 73,741.94/286.34
  6. Step 6: Final answer
    x = 257.54

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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.