Finding the Fourth Proportional to 193.74, 290.61 and 129.90
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Solution
The fourth proportional to 193.74, 290.61 and 129.90 is: 194.85
Step by Step Solution
- Step 1: Write the proportion equation
193.74 : 290.61 = 129.90 : x - Step 2: Convert to fraction form
193.74/290.61 = 129.90/x - Step 3: Cross multiply
193.74x = 290.61 × 129.90 - Step 4: Simplify right side
193.74x = 37,750.24 - Step 5: Solve for x
x = 37,750.24/193.74 - Step 6: Final answer
x = 194.85
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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.