Finding the Fourth Proportional to 199.80, 299.79 and 97.02
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Solution
The fourth proportional to 199.80, 299.79 and 97.02 is: 145.57
Step by Step Solution
- Step 1: Write the proportion equation
199.80 : 299.79 = 97.02 : x - Step 2: Convert to fraction form
199.80/299.79 = 97.02/x - Step 3: Cross multiply
199.80x = 299.79 × 97.02 - Step 4: Simplify right side
199.80x = 29,085.63 - Step 5: Solve for x
x = 29,085.63/199.80 - Step 6: Final answer
x = 145.57
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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.