Finding the Fourth Proportional to 32.71, 45.12 and 22.99
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Solution
The fourth proportional to 32.71, 45.12 and 22.99 is: 31.71
Step by Step Solution
- Step 1: Write the proportion equation
32.71 : 45.12 = 22.99 : x - Step 2: Convert to fraction form
32.71/45.12 = 22.99/x - Step 3: Cross multiply
32.71x = 45.12 × 22.99 - Step 4: Simplify right side
32.71x = 1,037.31 - Step 5: Solve for x
x = 1,037.31/32.71 - Step 6: Final answer
x = 31.71
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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.