Finding the Fourth Proportional to 202.23, 279.30 and 177.60
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Solution
The fourth proportional to 202.23, 279.30 and 177.60 is: 245.28
Step by Step Solution
- Step 1: Write the proportion equation
202.23 : 279.30 = 177.60 : x - Step 2: Convert to fraction form
202.23/279.30 = 177.60/x - Step 3: Cross multiply
202.23x = 279.30 × 177.60 - Step 4: Simplify right side
202.23x = 49,603.68 - Step 5: Solve for x
x = 49,603.68/202.23 - Step 6: Final answer
x = 245.28
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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.