Finding the Fourth Proportional to 178.91, 268.36 and 98.26
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Solution
The fourth proportional to 178.91, 268.36 and 98.26 is: 147.39
Step by Step Solution
- Step 1: Write the proportion equation
178.91 : 268.36 = 98.26 : x - Step 2: Convert to fraction form
178.91/268.36 = 98.26/x - Step 3: Cross multiply
178.91x = 268.36 × 98.26 - Step 4: Simplify right side
178.91x = 26,369.05 - Step 5: Solve for x
x = 26,369.05/178.91 - Step 6: Final answer
x = 147.39
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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.