Finding the Fourth Proportional to 199.53, 299.07 and 77.70
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Solution
The fourth proportional to 199.53, 299.07 and 77.70 is: 116.46
Step by Step Solution
- Step 1: Write the proportion equation
199.53 : 299.07 = 77.70 : x - Step 2: Convert to fraction form
199.53/299.07 = 77.70/x - Step 3: Cross multiply
199.53x = 299.07 × 77.70 - Step 4: Simplify right side
199.53x = 23,237.74 - Step 5: Solve for x
x = 23,237.74/199.53 - Step 6: Final answer
x = 116.46
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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.