Finding the Fourth Proportional to 309.93, 465.08 and 115.06
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Solution
The fourth proportional to 309.93, 465.08 and 115.06 is: 172.66
Step by Step Solution
- Step 1: Write the proportion equation
309.93 : 465.08 = 115.06 : x - Step 2: Convert to fraction form
309.93/465.08 = 115.06/x - Step 3: Cross multiply
309.93x = 465.08 × 115.06 - Step 4: Simplify right side
309.93x = 53,512.10 - Step 5: Solve for x
x = 53,512.10/309.93 - Step 6: Final answer
x = 172.66
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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.