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Finding the Fourth Proportional to 282.15, 388.94 and 194.67

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Solution

The fourth proportional to 282.15, 388.94 and 194.67 is: 268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.15 : 388.94 = 194.67 : x
  2. Step 2: Convert to fraction form
    282.15/388.94 = 194.67/x
  3. Step 3: Cross multiply
    282.15x = 388.94 × 194.67
  4. Step 4: Simplify right side
    282.15x = 75,713.98
  5. Step 5: Solve for x
    x = 75,713.98/282.15
  6. Step 6: Final answer
    x = 268.35

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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.