Finding the Fourth Proportional to 309.12, 463.81 and 135.70
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Solution
The fourth proportional to 309.12, 463.81 and 135.70 is: 203.61
Step by Step Solution
- Step 1: Write the proportion equation
309.12 : 463.81 = 135.70 : x - Step 2: Convert to fraction form
309.12/463.81 = 135.70/x - Step 3: Cross multiply
309.12x = 463.81 × 135.70 - Step 4: Simplify right side
309.12x = 62,939.36 - Step 5: Solve for x
x = 62,939.36/309.12 - Step 6: Final answer
x = 203.61
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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.