Finding the Fourth Proportional to 162.21, 242.99 and 97.26
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Solution
The fourth proportional to 162.21, 242.99 and 97.26 is: 145.70
Step by Step Solution
- Step 1: Write the proportion equation
162.21 : 242.99 = 97.26 : x - Step 2: Convert to fraction form
162.21/242.99 = 97.26/x - Step 3: Cross multiply
162.21x = 242.99 × 97.26 - Step 4: Simplify right side
162.21x = 23,633.21 - Step 5: Solve for x
x = 23,633.21/162.21 - Step 6: Final answer
x = 145.70
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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.