Finding the Fourth Proportional to 431.62, 647.42 and 106.99
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Solution
The fourth proportional to 431.62, 647.42 and 106.99 is: 160.48
Step by Step Solution
- Step 1: Write the proportion equation
431.62 : 647.42 = 106.99 : x - Step 2: Convert to fraction form
431.62/647.42 = 106.99/x - Step 3: Cross multiply
431.62x = 647.42 × 106.99 - Step 4: Simplify right side
431.62x = 69,267.47 - Step 5: Solve for x
x = 69,267.47/431.62 - Step 6: Final answer
x = 160.48
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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.