Finding the Fourth Proportional to 202.70, 304.26 and 120.53
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Solution
The fourth proportional to 202.70, 304.26 and 120.53 is: 180.93
Step by Step Solution
- Step 1: Write the proportion equation
202.70 : 304.26 = 120.53 : x - Step 2: Convert to fraction form
202.70/304.26 = 120.53/x - Step 3: Cross multiply
202.70x = 304.26 × 120.53 - Step 4: Simplify right side
202.70x = 36,673.22 - Step 5: Solve for x
x = 36,673.22/202.70 - Step 6: Final answer
x = 180.93
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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.