Finding the Fourth Proportional to 98.24, 147.44 and 54.95
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Solution
The fourth proportional to 98.24, 147.44 and 54.95 is: 82.47
Step by Step Solution
- Step 1: Write the proportion equation
98.24 : 147.44 = 54.95 : x - Step 2: Convert to fraction form
98.24/147.44 = 54.95/x - Step 3: Cross multiply
98.24x = 147.44 × 54.95 - Step 4: Simplify right side
98.24x = 8,101.09 - Step 5: Solve for x
x = 8,101.09/98.24 - Step 6: Final answer
x = 82.47
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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.