Finding the Fourth Proportional to 178.93, 268.26 and 97.66
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Solution
The fourth proportional to 178.93, 268.26 and 97.66 is: 146.42
Step by Step Solution
- Step 1: Write the proportion equation
178.93 : 268.26 = 97.66 : x - Step 2: Convert to fraction form
178.93/268.26 = 97.66/x - Step 3: Cross multiply
178.93x = 268.26 × 97.66 - Step 4: Simplify right side
178.93x = 26,198.27 - Step 5: Solve for x
x = 26,198.27/178.93 - Step 6: Final answer
x = 146.42
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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.