Finding the Fourth Proportional to 202.08, 278.87 and 114.75
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Solution
The fourth proportional to 202.08, 278.87 and 114.75 is: 158.36
Step by Step Solution
- Step 1: Write the proportion equation
202.08 : 278.87 = 114.75 : x - Step 2: Convert to fraction form
202.08/278.87 = 114.75/x - Step 3: Cross multiply
202.08x = 278.87 × 114.75 - Step 4: Simplify right side
202.08x = 32,000.08 - Step 5: Solve for x
x = 32,000.08/202.08 - Step 6: Final answer
x = 158.36
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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.