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Finding the Fourth Proportional to 194.92, 289.95 and 192.96

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Solution

The fourth proportional to 194.92, 289.95 and 192.96 is: 287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.92 : 289.95 = 192.96 : x
  2. Step 2: Convert to fraction form
    194.92/289.95 = 192.96/x
  3. Step 3: Cross multiply
    194.92x = 289.95 × 192.96
  4. Step 4: Simplify right side
    194.92x = 55,948.75
  5. Step 5: Solve for x
    x = 55,948.75/194.92
  6. Step 6: Final answer
    x = 287.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.