Finding the Fourth Proportional to 197.99, 297.18 and 106.88
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Solution
The fourth proportional to 197.99, 297.18 and 106.88 is: 160.43
Step by Step Solution
- Step 1: Write the proportion equation
197.99 : 297.18 = 106.88 : x - Step 2: Convert to fraction form
197.99/297.18 = 106.88/x - Step 3: Cross multiply
197.99x = 297.18 × 106.88 - Step 4: Simplify right side
197.99x = 31,762.48 - Step 5: Solve for x
x = 31,762.48/197.99 - Step 6: Final answer
x = 160.43
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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.