Finding the Fourth Proportional to 199.79, 299.62 and 84.23
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Solution
The fourth proportional to 199.79, 299.62 and 84.23 is: 126.32
Step by Step Solution
- Step 1: Write the proportion equation
199.79 : 299.62 = 84.23 : x - Step 2: Convert to fraction form
199.79/299.62 = 84.23/x - Step 3: Cross multiply
199.79x = 299.62 × 84.23 - Step 4: Simplify right side
199.79x = 25,237.93 - Step 5: Solve for x
x = 25,237.93/199.79 - Step 6: Final answer
x = 126.32
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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.