Finding the Fourth Proportional to 202.06, 302.95 and 163.77
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Solution
The fourth proportional to 202.06, 302.95 and 163.77 is: 245.54
Step by Step Solution
- Step 1: Write the proportion equation
202.06 : 302.95 = 163.77 : x - Step 2: Convert to fraction form
202.06/302.95 = 163.77/x - Step 3: Cross multiply
202.06x = 302.95 × 163.77 - Step 4: Simplify right side
202.06x = 49,614.12 - Step 5: Solve for x
x = 49,614.12/202.06 - Step 6: Final answer
x = 245.54
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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.