Finding the Fourth Proportional to 189.26, 283.97 and 102.65
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Solution
The fourth proportional to 189.26, 283.97 and 102.65 is: 154.02
Step by Step Solution
- Step 1: Write the proportion equation
189.26 : 283.97 = 102.65 : x - Step 2: Convert to fraction form
189.26/283.97 = 102.65/x - Step 3: Cross multiply
189.26x = 283.97 × 102.65 - Step 4: Simplify right side
189.26x = 29,149.01 - Step 5: Solve for x
x = 29,149.01/189.26 - Step 6: Final answer
x = 154.02
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.