Finding the Fourth Proportional to 198.74, 297.80 and 155.70
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Solution
The fourth proportional to 198.74, 297.80 and 155.70 is: 233.31
Step by Step Solution
- Step 1: Write the proportion equation
198.74 : 297.80 = 155.70 : x - Step 2: Convert to fraction form
198.74/297.80 = 155.70/x - Step 3: Cross multiply
198.74x = 297.80 × 155.70 - Step 4: Simplify right side
198.74x = 46,366.68 - Step 5: Solve for x
x = 46,366.68/198.74 - Step 6: Final answer
x = 233.31
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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.