Finding the Fourth Proportional to 378.64, 566.96 and 232.08
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Solution
The fourth proportional to 378.64, 566.96 and 232.08 is: 347.51
Step by Step Solution
- Step 1: Write the proportion equation
378.64 : 566.96 = 232.08 : x - Step 2: Convert to fraction form
378.64/566.96 = 232.08/x - Step 3: Cross multiply
378.64x = 566.96 × 232.08 - Step 4: Simplify right side
378.64x = 131,580.08 - Step 5: Solve for x
x = 131,580.08/378.64 - Step 6: Final answer
x = 347.51
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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.