Finding the Fourth Proportional to 149.28, 206.08 and 114.02
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Solution
The fourth proportional to 149.28, 206.08 and 114.02 is: 157.40
Step by Step Solution
- Step 1: Write the proportion equation
149.28 : 206.08 = 114.02 : x - Step 2: Convert to fraction form
149.28/206.08 = 114.02/x - Step 3: Cross multiply
149.28x = 206.08 × 114.02 - Step 4: Simplify right side
149.28x = 23,497.24 - Step 5: Solve for x
x = 23,497.24/149.28 - Step 6: Final answer
x = 157.40
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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.