Finding the Fourth Proportional to 203.18, 304.67 and 73.14
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Solution
The fourth proportional to 203.18, 304.67 and 73.14 is: 109.67
Step by Step Solution
- Step 1: Write the proportion equation
203.18 : 304.67 = 73.14 : x - Step 2: Convert to fraction form
203.18/304.67 = 73.14/x - Step 3: Cross multiply
203.18x = 304.67 × 73.14 - Step 4: Simplify right side
203.18x = 22,283.20 - Step 5: Solve for x
x = 22,283.20/203.18 - Step 6: Final answer
x = 109.67
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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.