Finding the Fourth Proportional to 202.93, 280.40 and 177.95
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Solution
The fourth proportional to 202.93, 280.40 and 177.95 is: 245.89
Step by Step Solution
- Step 1: Write the proportion equation
202.93 : 280.40 = 177.95 : x - Step 2: Convert to fraction form
202.93/280.40 = 177.95/x - Step 3: Cross multiply
202.93x = 280.40 × 177.95 - Step 4: Simplify right side
202.93x = 49,896.99 - Step 5: Solve for x
x = 49,896.99/202.93 - Step 6: Final answer
x = 245.89
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.