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Finding the Fourth Proportional to 194.85, 290.79 and 189.99

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Solution

The fourth proportional to 194.85, 290.79 and 189.99 is: 283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.85 : 290.79 = 189.99 : x
  2. Step 2: Convert to fraction form
    194.85/290.79 = 189.99/x
  3. Step 3: Cross multiply
    194.85x = 290.79 × 189.99
  4. Step 4: Simplify right side
    194.85x = 55,247.19
  5. Step 5: Solve for x
    x = 55,247.19/194.85
  6. Step 6: Final answer
    x = 283.54

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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.