Finding the Fourth Proportional to 163.64, 224.58 and 145.74
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Solution
The fourth proportional to 163.64, 224.58 and 145.74 is: 200.02
Step by Step Solution
- Step 1: Write the proportion equation
163.64 : 224.58 = 145.74 : x - Step 2: Convert to fraction form
163.64/224.58 = 145.74/x - Step 3: Cross multiply
163.64x = 224.58 × 145.74 - Step 4: Simplify right side
163.64x = 32,730.29 - Step 5: Solve for x
x = 32,730.29/163.64 - Step 6: Final answer
x = 200.02
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.