Finding the Fourth Proportional to 278.10, 416.99 and 115.70
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Solution
The fourth proportional to 278.10, 416.99 and 115.70 is: 173.47
Step by Step Solution
- Step 1: Write the proportion equation
278.10 : 416.99 = 115.70 : x - Step 2: Convert to fraction form
278.10/416.99 = 115.70/x - Step 3: Cross multiply
278.10x = 416.99 × 115.70 - Step 4: Simplify right side
278.10x = 48,243.08 - Step 5: Solve for x
x = 48,243.08/278.10 - Step 6: Final answer
x = 173.47
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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.