Finding the Fourth Proportional to 193.79, 290.08 and 102.26
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Solution
The fourth proportional to 193.79, 290.08 and 102.26 is: 153.07
Step by Step Solution
- Step 1: Write the proportion equation
193.79 : 290.08 = 102.26 : x - Step 2: Convert to fraction form
193.79/290.08 = 102.26/x - Step 3: Cross multiply
193.79x = 290.08 × 102.26 - Step 4: Simplify right side
193.79x = 29,664.43 - Step 5: Solve for x
x = 29,664.43/193.79 - Step 6: Final answer
x = 153.07
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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.