Finding the Fourth Proportional to 381.24, 572.09 and 219.06
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Solution
The fourth proportional to 381.24, 572.09 and 219.06 is: 328.72
Step by Step Solution
- Step 1: Write the proportion equation
381.24 : 572.09 = 219.06 : x - Step 2: Convert to fraction form
381.24/572.09 = 219.06/x - Step 3: Cross multiply
381.24x = 572.09 × 219.06 - Step 4: Simplify right side
381.24x = 125,320.94 - Step 5: Solve for x
x = 125,320.94/381.24 - Step 6: Final answer
x = 328.72
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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.