Finding the Fourth Proportional to 219.24, 328.97 and 110.97
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Solution
The fourth proportional to 219.24, 328.97 and 110.97 is: 166.51
Step by Step Solution
- Step 1: Write the proportion equation
219.24 : 328.97 = 110.97 : x - Step 2: Convert to fraction form
219.24/328.97 = 110.97/x - Step 3: Cross multiply
219.24x = 328.97 × 110.97 - Step 4: Simplify right side
219.24x = 36,506.08 - Step 5: Solve for x
x = 36,506.08/219.24 - Step 6: Final answer
x = 166.51
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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.