Finding the Fourth Proportional to 130.02, 194.99 and 107.14
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Solution
The fourth proportional to 130.02, 194.99 and 107.14 is: 160.67
Step by Step Solution
- Step 1: Write the proportion equation
130.02 : 194.99 = 107.14 : x - Step 2: Convert to fraction form
130.02/194.99 = 107.14/x - Step 3: Cross multiply
130.02x = 194.99 × 107.14 - Step 4: Simplify right side
130.02x = 20,890.63 - Step 5: Solve for x
x = 20,890.63/130.02 - Step 6: Final answer
x = 160.67
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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.