Finding the Fourth Proportional to 378.24, 567.36 and 286.88
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Solution
The fourth proportional to 378.24, 567.36 and 286.88 is: 430.32
Step by Step Solution
- Step 1: Write the proportion equation
378.24 : 567.36 = 286.88 : x - Step 2: Convert to fraction form
378.24/567.36 = 286.88/x - Step 3: Cross multiply
378.24x = 567.36 × 286.88 - Step 4: Simplify right side
378.24x = 162,764.24 - Step 5: Solve for x
x = 162,764.24/378.24 - Step 6: Final answer
x = 430.32
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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.