Finding the Fourth Proportional to 78.45, 117.42 and 45.99
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Solution
The fourth proportional to 78.45, 117.42 and 45.99 is: 68.84
Step by Step Solution
- Step 1: Write the proportion equation
78.45 : 117.42 = 45.99 : x - Step 2: Convert to fraction form
78.45/117.42 = 45.99/x - Step 3: Cross multiply
78.45x = 117.42 × 45.99 - Step 4: Simplify right side
78.45x = 5,400.15 - Step 5: Solve for x
x = 5,400.15/78.45 - Step 6: Final answer
x = 68.84
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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.