Finding the Fourth Proportional to 202.74, 304.08 and 87.14
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Solution
The fourth proportional to 202.74, 304.08 and 87.14 is: 130.69
Step by Step Solution
- Step 1: Write the proportion equation
202.74 : 304.08 = 87.14 : x - Step 2: Convert to fraction form
202.74/304.08 = 87.14/x - Step 3: Cross multiply
202.74x = 304.08 × 87.14 - Step 4: Simplify right side
202.74x = 26,496.01 - Step 5: Solve for x
x = 26,496.01/202.74 - Step 6: Final answer
x = 130.69
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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.