Finding the Fourth Proportional to 163.14, 224.77 and 159.08
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Solution
The fourth proportional to 163.14, 224.77 and 159.08 is: 219.18
Step by Step Solution
- Step 1: Write the proportion equation
163.14 : 224.77 = 159.08 : x - Step 2: Convert to fraction form
163.14/224.77 = 159.08/x - Step 3: Cross multiply
163.14x = 224.77 × 159.08 - Step 4: Simplify right side
163.14x = 35,756.41 - Step 5: Solve for x
x = 35,756.41/163.14 - Step 6: Final answer
x = 219.18
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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.