Finding the Fourth Proportional to 197.22, 294.99 and 133.14
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Solution
The fourth proportional to 197.22, 294.99 and 133.14 is: 199.14
Step by Step Solution
- Step 1: Write the proportion equation
197.22 : 294.99 = 133.14 : x - Step 2: Convert to fraction form
197.22/294.99 = 133.14/x - Step 3: Cross multiply
197.22x = 294.99 × 133.14 - Step 4: Simplify right side
197.22x = 39,274.97 - Step 5: Solve for x
x = 39,274.97/197.22 - Step 6: Final answer
x = 199.14
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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.