Finding the Fourth Proportional to 146.94, 202.64 and 97.80
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Solution
The fourth proportional to 146.94, 202.64 and 97.80 is: 134.87
Step by Step Solution
- Step 1: Write the proportion equation
146.94 : 202.64 = 97.80 : x - Step 2: Convert to fraction form
146.94/202.64 = 97.80/x - Step 3: Cross multiply
146.94x = 202.64 × 97.80 - Step 4: Simplify right side
146.94x = 19,818.19 - Step 5: Solve for x
x = 19,818.19/146.94 - Step 6: Final answer
x = 134.87
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.