Finding the Fourth Proportional to 98.42, 147.66 and 47.08
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Solution
The fourth proportional to 98.42, 147.66 and 47.08 is: 70.63
Step by Step Solution
- Step 1: Write the proportion equation
98.42 : 147.66 = 47.08 : x - Step 2: Convert to fraction form
98.42/147.66 = 47.08/x - Step 3: Cross multiply
98.42x = 147.66 × 47.08 - Step 4: Simplify right side
98.42x = 6,951.29 - Step 5: Solve for x
x = 6,951.29/98.42 - Step 6: Final answer
x = 70.63
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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.