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Finding the Fourth Proportional to 194.11, 289.82 and 192.16

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Solution

The fourth proportional to 194.11, 289.82 and 192.16 is: 286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.11 : 289.82 = 192.16 : x
  2. Step 2: Convert to fraction form
    194.11/289.82 = 192.16/x
  3. Step 3: Cross multiply
    194.11x = 289.82 × 192.16
  4. Step 4: Simplify right side
    194.11x = 55,693.74
  5. Step 5: Solve for x
    x = 55,693.74/194.11
  6. Step 6: Final answer
    x = 286.91

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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.