Finding the Fourth Proportional to 202.23, 278.97 and 136.62
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Solution
The fourth proportional to 202.23, 278.97 and 136.62 is: 188.46
Step by Step Solution
- Step 1: Write the proportion equation
202.23 : 278.97 = 136.62 : x - Step 2: Convert to fraction form
202.23/278.97 = 136.62/x - Step 3: Cross multiply
202.23x = 278.97 × 136.62 - Step 4: Simplify right side
202.23x = 38,112.88 - Step 5: Solve for x
x = 38,112.88/202.23 - Step 6: Final answer
x = 188.46
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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.