Finding the Fourth Proportional to 193.11, 266.49 and 119.42
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Solution
The fourth proportional to 193.11, 266.49 and 119.42 is: 164.80
Step by Step Solution
- Step 1: Write the proportion equation
193.11 : 266.49 = 119.42 : x - Step 2: Convert to fraction form
193.11/266.49 = 119.42/x - Step 3: Cross multiply
193.11x = 266.49 × 119.42 - Step 4: Simplify right side
193.11x = 31,824.24 - Step 5: Solve for x
x = 31,824.24/193.11 - Step 6: Final answer
x = 164.80
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.