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Finding the Fourth Proportional to 286.70, 395.82 and 181.80

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Solution

The fourth proportional to 286.70, 395.82 and 181.80 is: 251.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.70 : 395.82 = 181.80 : x
  2. Step 2: Convert to fraction form
    286.70/395.82 = 181.80/x
  3. Step 3: Cross multiply
    286.70x = 395.82 × 181.80
  4. Step 4: Simplify right side
    286.70x = 71,960.08
  5. Step 5: Solve for x
    x = 71,960.08/286.70
  6. Step 6: Final answer
    x = 251.00

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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.