Finding the Fourth Proportional to 270.36, 405.36 and 97.08
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Solution
The fourth proportional to 270.36, 405.36 and 97.08 is: 145.56
Step by Step Solution
- Step 1: Write the proportion equation
270.36 : 405.36 = 97.08 : x - Step 2: Convert to fraction form
270.36/405.36 = 97.08/x - Step 3: Cross multiply
270.36x = 405.36 × 97.08 - Step 4: Simplify right side
270.36x = 39,352.35 - Step 5: Solve for x
x = 39,352.35/270.36 - Step 6: Final answer
x = 145.56
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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.