Finding the Fourth Proportional to 202.36, 278.95 and 158.62
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Solution
The fourth proportional to 202.36, 278.95 and 158.62 is: 218.66
Step by Step Solution
- Step 1: Write the proportion equation
202.36 : 278.95 = 158.62 : x - Step 2: Convert to fraction form
202.36/278.95 = 158.62/x - Step 3: Cross multiply
202.36x = 278.95 × 158.62 - Step 4: Simplify right side
202.36x = 44,247.05 - Step 5: Solve for x
x = 44,247.05/202.36 - Step 6: Final answer
x = 218.66
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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.