Finding the Fourth Proportional to 378.64, 567.94 and 122.14
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Solution
The fourth proportional to 378.64, 567.94 and 122.14 is: 183.20
Step by Step Solution
- Step 1: Write the proportion equation
378.64 : 567.94 = 122.14 : x - Step 2: Convert to fraction form
378.64/567.94 = 122.14/x - Step 3: Cross multiply
378.64x = 567.94 × 122.14 - Step 4: Simplify right side
378.64x = 69,368.19 - Step 5: Solve for x
x = 69,368.19/378.64 - Step 6: Final answer
x = 183.20
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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.