Finding the Fourth Proportional to 42.05, 63.09 and 30.49
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Solution
The fourth proportional to 42.05, 63.09 and 30.49 is: 45.75
Step by Step Solution
- Step 1: Write the proportion equation
42.05 : 63.09 = 30.49 : x - Step 2: Convert to fraction form
42.05/63.09 = 30.49/x - Step 3: Cross multiply
42.05x = 63.09 × 30.49 - Step 4: Simplify right side
42.05x = 1,923.54 - Step 5: Solve for x
x = 1,923.54/42.05 - Step 6: Final answer
x = 45.75
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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.