Finding the Fourth Proportional to 197.98, 296.99 and 116.71
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Solution
The fourth proportional to 197.98, 296.99 and 116.71 is: 175.08
Step by Step Solution
- Step 1: Write the proportion equation
197.98 : 296.99 = 116.71 : x - Step 2: Convert to fraction form
197.98/296.99 = 116.71/x - Step 3: Cross multiply
197.98x = 296.99 × 116.71 - Step 4: Simplify right side
197.98x = 34,661.70 - Step 5: Solve for x
x = 34,661.70/197.98 - Step 6: Final answer
x = 175.08
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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.