Finding the Fourth Proportional to 98.08, 147.36 and 77.92
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Solution
The fourth proportional to 98.08, 147.36 and 77.92 is: 117.07
Step by Step Solution
- Step 1: Write the proportion equation
98.08 : 147.36 = 77.92 : x - Step 2: Convert to fraction form
98.08/147.36 = 77.92/x - Step 3: Cross multiply
98.08x = 147.36 × 77.92 - Step 4: Simplify right side
98.08x = 11,482.29 - Step 5: Solve for x
x = 11,482.29/98.08 - Step 6: Final answer
x = 117.07
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.