Finding the Fourth Proportional to 198.74, 274.23 and 133.13
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Solution
The fourth proportional to 198.74, 274.23 and 133.13 is: 183.70
Step by Step Solution
- Step 1: Write the proportion equation
198.74 : 274.23 = 133.13 : x - Step 2: Convert to fraction form
198.74/274.23 = 133.13/x - Step 3: Cross multiply
198.74x = 274.23 × 133.13 - Step 4: Simplify right side
198.74x = 36,508.24 - Step 5: Solve for x
x = 36,508.24/198.74 - Step 6: Final answer
x = 183.70
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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.