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Finding the Fourth Proportional to 286.76, 395.54 and 209

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Solution

The fourth proportional to 286.76, 395.54 and 209 is: 288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.76 : 395.54 = 209 : x
  2. Step 2: Convert to fraction form
    286.76/395.54 = 209/x
  3. Step 3: Cross multiply
    286.76x = 395.54 × 209
  4. Step 4: Simplify right side
    286.76x = 82,667.86
  5. Step 5: Solve for x
    x = 82,667.86/286.76
  6. Step 6: Final answer
    x = 288.28

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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.