Finding the Fourth Proportional to 204.08, 305.91 and 130.95
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Solution
The fourth proportional to 204.08, 305.91 and 130.95 is: 196.30
Step by Step Solution
- Step 1: Write the proportion equation
204.08 : 305.91 = 130.95 : x - Step 2: Convert to fraction form
204.08/305.91 = 130.95/x - Step 3: Cross multiply
204.08x = 305.91 × 130.95 - Step 4: Simplify right side
204.08x = 40,058.91 - Step 5: Solve for x
x = 40,058.91/204.08 - Step 6: Final answer
x = 196.30
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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.