Finding the Fourth Proportional to 199.23, 298.78 and 90.99
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Solution
The fourth proportional to 199.23, 298.78 and 90.99 is: 136.46
Step by Step Solution
- Step 1: Write the proportion equation
199.23 : 298.78 = 90.99 : x - Step 2: Convert to fraction form
199.23/298.78 = 90.99/x - Step 3: Cross multiply
199.23x = 298.78 × 90.99 - Step 4: Simplify right side
199.23x = 27,185.99 - Step 5: Solve for x
x = 27,185.99/199.23 - Step 6: Final answer
x = 136.46
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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.