Finding the Fourth Proportional to 107.11, 147.81 and 74.31
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Solution
The fourth proportional to 107.11, 147.81 and 74.31 is: 102.55
Step by Step Solution
- Step 1: Write the proportion equation
107.11 : 147.81 = 74.31 : x - Step 2: Convert to fraction form
107.11/147.81 = 74.31/x - Step 3: Cross multiply
107.11x = 147.81 × 74.31 - Step 4: Simplify right side
107.11x = 10,983.76 - Step 5: Solve for x
x = 10,983.76/107.11 - Step 6: Final answer
x = 102.55
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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.