Finding the Fourth Proportional to 135.15, 202.64 and 115.64
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Solution
The fourth proportional to 135.15, 202.64 and 115.64 is: 173.38
Step by Step Solution
- Step 1: Write the proportion equation
135.15 : 202.64 = 115.64 : x - Step 2: Convert to fraction form
135.15/202.64 = 115.64/x - Step 3: Cross multiply
135.15x = 202.64 × 115.64 - Step 4: Simplify right side
135.15x = 23,431.70 - Step 5: Solve for x
x = 23,431.70/135.15 - Step 6: Final answer
x = 173.38
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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.