Finding the Fourth Proportional to 279.70, 419.08 and 96.99
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Solution
The fourth proportional to 279.70, 419.08 and 96.99 is: 145.32
Step by Step Solution
- Step 1: Write the proportion equation
279.70 : 419.08 = 96.99 : x - Step 2: Convert to fraction form
279.70/419.08 = 96.99/x - Step 3: Cross multiply
279.70x = 419.08 × 96.99 - Step 4: Simplify right side
279.70x = 40,646.33 - Step 5: Solve for x
x = 40,646.33/279.70 - Step 6: Final answer
x = 145.32
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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.