Finding the Fourth Proportional to 146.57, 202.26 and 81.06
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Solution
The fourth proportional to 146.57, 202.26 and 81.06 is: 111.86
Step by Step Solution
- Step 1: Write the proportion equation
146.57 : 202.26 = 81.06 : x - Step 2: Convert to fraction form
146.57/202.26 = 81.06/x - Step 3: Cross multiply
146.57x = 202.26 × 81.06 - Step 4: Simplify right side
146.57x = 16,395.20 - Step 5: Solve for x
x = 16,395.20/146.57 - Step 6: Final answer
x = 111.86
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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.