Finding the Fourth Proportional to 10.49, 15.73 and 7.07
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Solution
The fourth proportional to 10.49, 15.73 and 7.07 is: 10.60
Step by Step Solution
- Step 1: Write the proportion equation
10.49 : 15.73 = 7.07 : x - Step 2: Convert to fraction form
10.49/15.73 = 7.07/x - Step 3: Cross multiply
10.49x = 15.73 × 7.07 - Step 4: Simplify right side
10.49x = 111.13 - Step 5: Solve for x
x = 111.13/10.49 - Step 6: Final answer
x = 10.60
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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.