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Finding the Fourth Proportional to 194.00, 289.34 and 189.95

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Solution

The fourth proportional to 194.00, 289.34 and 189.95 is: 283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.00 : 289.34 = 189.95 : x
  2. Step 2: Convert to fraction form
    194.00/289.34 = 189.95/x
  3. Step 3: Cross multiply
    194.00x = 289.34 × 189.95
  4. Step 4: Simplify right side
    194.00x = 54,958.45
  5. Step 5: Solve for x
    x = 54,958.45/194.00
  6. Step 6: Final answer
    x = 283.30

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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.