Finding the Fourth Proportional to 180.20, 270.02 and 149.70
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Solution
The fourth proportional to 180.20, 270.02 and 149.70 is: 224.32
Step by Step Solution
- Step 1: Write the proportion equation
180.20 : 270.02 = 149.70 : x - Step 2: Convert to fraction form
180.20/270.02 = 149.70/x - Step 3: Cross multiply
180.20x = 270.02 × 149.70 - Step 4: Simplify right side
180.20x = 40,421.99 - Step 5: Solve for x
x = 40,421.99/180.20 - Step 6: Final answer
x = 224.32
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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.