Finding the Fourth Proportional to 193.96, 290.80 and 102.70
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Solution
The fourth proportional to 193.96, 290.80 and 102.70 is: 153.97
Step by Step Solution
- Step 1: Write the proportion equation
193.96 : 290.80 = 102.70 : x - Step 2: Convert to fraction form
193.96/290.80 = 102.70/x - Step 3: Cross multiply
193.96x = 290.80 × 102.70 - Step 4: Simplify right side
193.96x = 29,863.19 - Step 5: Solve for x
x = 29,863.19/193.96 - Step 6: Final answer
x = 153.97
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.