Finding the Fourth Proportional to 203.20, 304.58 and 74.94
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Solution
The fourth proportional to 203.20, 304.58 and 74.94 is: 112.33
Step by Step Solution
- Step 1: Write the proportion equation
203.20 : 304.58 = 74.94 : x - Step 2: Convert to fraction form
203.20/304.58 = 74.94/x - Step 3: Cross multiply
203.20x = 304.58 × 74.94 - Step 4: Simplify right side
203.20x = 22,825.23 - Step 5: Solve for x
x = 22,825.23/203.20 - Step 6: Final answer
x = 112.33
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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.