Finding the Fourth Proportional to 137.42, 206.12 and 50.75
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Solution
The fourth proportional to 137.42, 206.12 and 50.75 is: 76.12
Step by Step Solution
- Step 1: Write the proportion equation
137.42 : 206.12 = 50.75 : x - Step 2: Convert to fraction form
137.42/206.12 = 50.75/x - Step 3: Cross multiply
137.42x = 206.12 × 50.75 - Step 4: Simplify right side
137.42x = 10,460.59 - Step 5: Solve for x
x = 10,460.59/137.42 - Step 6: Final answer
x = 76.12
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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.