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Finding the Fourth Proportional to 286.75, 395.99 and 209.53

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Solution

The fourth proportional to 286.75, 395.99 and 209.53 is: 289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.75 : 395.99 = 209.53 : x
  2. Step 2: Convert to fraction form
    286.75/395.99 = 209.53/x
  3. Step 3: Cross multiply
    286.75x = 395.99 × 209.53
  4. Step 4: Simplify right side
    286.75x = 82,971.78
  5. Step 5: Solve for x
    x = 82,971.78/286.75
  6. Step 6: Final answer
    x = 289.35

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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.