Finding the Fourth Proportional to 161.99, 242.74 and 96.99
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Solution
The fourth proportional to 161.99, 242.74 and 96.99 is: 145.34
Step by Step Solution
- Step 1: Write the proportion equation
161.99 : 242.74 = 96.99 : x - Step 2: Convert to fraction form
161.99/242.74 = 96.99/x - Step 3: Cross multiply
161.99x = 242.74 × 96.99 - Step 4: Simplify right side
161.99x = 23,543.35 - Step 5: Solve for x
x = 23,543.35/161.99 - Step 6: Final answer
x = 145.34
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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.