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Finding the Fourth Proportional to 282.63, 389.97 and 194.18

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Solution

The fourth proportional to 282.63, 389.97 and 194.18 is: 267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.63 : 389.97 = 194.18 : x
  2. Step 2: Convert to fraction form
    282.63/389.97 = 194.18/x
  3. Step 3: Cross multiply
    282.63x = 389.97 × 194.18
  4. Step 4: Simplify right side
    282.63x = 75,722.42
  5. Step 5: Solve for x
    x = 75,722.42/282.63
  6. Step 6: Final answer
    x = 267.92

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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.