Finding the Fourth Proportional to 420.36, 580.08 and 233.82
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Solution
The fourth proportional to 420.36, 580.08 and 233.82 is: 322.66
Step by Step Solution
- Step 1: Write the proportion equation
420.36 : 580.08 = 233.82 : x - Step 2: Convert to fraction form
420.36/580.08 = 233.82/x - Step 3: Cross multiply
420.36x = 580.08 × 233.82 - Step 4: Simplify right side
420.36x = 135,634.31 - Step 5: Solve for x
x = 135,634.31/420.36 - Step 6: Final answer
x = 322.66
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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.