Finding the Fourth Proportional to 202.97, 280.08 and 115.65
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Solution
The fourth proportional to 202.97, 280.08 and 115.65 is: 159.59
Step by Step Solution
- Step 1: Write the proportion equation
202.97 : 280.08 = 115.65 : x - Step 2: Convert to fraction form
202.97/280.08 = 115.65/x - Step 3: Cross multiply
202.97x = 280.08 × 115.65 - Step 4: Simplify right side
202.97x = 32,391.25 - Step 5: Solve for x
x = 32,391.25/202.97 - Step 6: Final answer
x = 159.59
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.