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Finding the Fourth Proportional to 282.26, 389.04 and 194.78

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Solution

The fourth proportional to 282.26, 389.04 and 194.78 is: 268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.26 : 389.04 = 194.78 : x
  2. Step 2: Convert to fraction form
    282.26/389.04 = 194.78/x
  3. Step 3: Cross multiply
    282.26x = 389.04 × 194.78
  4. Step 4: Simplify right side
    282.26x = 75,777.21
  5. Step 5: Solve for x
    x = 75,777.21/282.26
  6. Step 6: Final answer
    x = 268.47

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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.