Finding the Fourth Proportional to 252.21, 378.47 and 149.70
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Solution
The fourth proportional to 252.21, 378.47 and 149.70 is: 224.65
Step by Step Solution
- Step 1: Write the proportion equation
252.21 : 378.47 = 149.70 : x - Step 2: Convert to fraction form
252.21/378.47 = 149.70/x - Step 3: Cross multiply
252.21x = 378.47 × 149.70 - Step 4: Simplify right side
252.21x = 56,658.75 - Step 5: Solve for x
x = 56,658.75/252.21 - Step 6: Final answer
x = 224.65
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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.