Finding the Fourth Proportional to 147.14, 202.95 and 98.01
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Solution
The fourth proportional to 147.14, 202.95 and 98.01 is: 135.19
Step by Step Solution
- Step 1: Write the proportion equation
147.14 : 202.95 = 98.01 : x - Step 2: Convert to fraction form
147.14/202.95 = 98.01/x - Step 3: Cross multiply
147.14x = 202.95 × 98.01 - Step 4: Simplify right side
147.14x = 19,891.13 - Step 5: Solve for x
x = 19,891.13/147.14 - Step 6: Final answer
x = 135.19
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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.