Finding the Fourth Proportional to 162.81, 224.67 and 89.12
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Solution
The fourth proportional to 162.81, 224.67 and 89.12 is: 122.99
Step by Step Solution
- Step 1: Write the proportion equation
162.81 : 224.67 = 89.12 : x - Step 2: Convert to fraction form
162.81/224.67 = 89.12/x - Step 3: Cross multiply
162.81x = 224.67 × 89.12 - Step 4: Simplify right side
162.81x = 20,022.59 - Step 5: Solve for x
x = 20,022.59/162.81 - Step 6: Final answer
x = 122.99
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.