Finding the Fourth Proportional to 194.09, 290.91 and 97.70
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Solution
The fourth proportional to 194.09, 290.91 and 97.70 is: 146.43
Step by Step Solution
- Step 1: Write the proportion equation
194.09 : 290.91 = 97.70 : x - Step 2: Convert to fraction form
194.09/290.91 = 97.70/x - Step 3: Cross multiply
194.09x = 290.91 × 97.70 - Step 4: Simplify right side
194.09x = 28,420.45 - Step 5: Solve for x
x = 28,420.45/194.09 - Step 6: Final answer
x = 146.43
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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.