Finding the Fourth Proportional to 201.64, 302.14 and 147.28
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Solution
The fourth proportional to 201.64, 302.14 and 147.28 is: 220.69
Step by Step Solution
- Step 1: Write the proportion equation
201.64 : 302.14 = 147.28 : x - Step 2: Convert to fraction form
201.64/302.14 = 147.28/x - Step 3: Cross multiply
201.64x = 302.14 × 147.28 - Step 4: Simplify right side
201.64x = 44,499.18 - Step 5: Solve for x
x = 44,499.18/201.64 - Step 6: Final answer
x = 220.69
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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.