Finding the Fourth Proportional to 161.74, 242.62 and 112.84
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Solution
The fourth proportional to 161.74, 242.62 and 112.84 is: 169.27
Step by Step Solution
- Step 1: Write the proportion equation
161.74 : 242.62 = 112.84 : x - Step 2: Convert to fraction form
161.74/242.62 = 112.84/x - Step 3: Cross multiply
161.74x = 242.62 × 112.84 - Step 4: Simplify right side
161.74x = 27,377.24 - Step 5: Solve for x
x = 27,377.24/161.74 - Step 6: Final answer
x = 169.27
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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.