Finding the Fourth Proportional to 219.78, 329.74 and 110.02
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Solution
The fourth proportional to 219.78, 329.74 and 110.02 is: 165.07
Step by Step Solution
- Step 1: Write the proportion equation
219.78 : 329.74 = 110.02 : x - Step 2: Convert to fraction form
219.78/329.74 = 110.02/x - Step 3: Cross multiply
219.78x = 329.74 × 110.02 - Step 4: Simplify right side
219.78x = 36,277.99 - Step 5: Solve for x
x = 36,277.99/219.78 - Step 6: Final answer
x = 165.07
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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.