Finding the Fourth Proportional to 202.18, 302.65 and 130.09
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Solution
The fourth proportional to 202.18, 302.65 and 130.09 is: 194.74
Step by Step Solution
- Step 1: Write the proportion equation
202.18 : 302.65 = 130.09 : x - Step 2: Convert to fraction form
202.18/302.65 = 130.09/x - Step 3: Cross multiply
202.18x = 302.65 × 130.09 - Step 4: Simplify right side
202.18x = 39,371.74 - Step 5: Solve for x
x = 39,371.74/202.18 - Step 6: Final answer
x = 194.74
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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.