Finding the Fourth Proportional to 193.64, 290.06 and 97.26
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Solution
The fourth proportional to 193.64, 290.06 and 97.26 is: 145.69
Step by Step Solution
- Step 1: Write the proportion equation
193.64 : 290.06 = 97.26 : x - Step 2: Convert to fraction form
193.64/290.06 = 97.26/x - Step 3: Cross multiply
193.64x = 290.06 × 97.26 - Step 4: Simplify right side
193.64x = 28,211.24 - Step 5: Solve for x
x = 28,211.24/193.64 - Step 6: Final answer
x = 145.69
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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.