Finding the Fourth Proportional to 161.52, 242.08 and 106.63
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Solution
The fourth proportional to 161.52, 242.08 and 106.63 is: 159.81
Step by Step Solution
- Step 1: Write the proportion equation
161.52 : 242.08 = 106.63 : x - Step 2: Convert to fraction form
161.52/242.08 = 106.63/x - Step 3: Cross multiply
161.52x = 242.08 × 106.63 - Step 4: Simplify right side
161.52x = 25,812.99 - Step 5: Solve for x
x = 25,812.99/161.52 - Step 6: Final answer
x = 159.81
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.