Finding the Fourth Proportional to 148.47, 204.89 and 82.99
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Solution
The fourth proportional to 148.47, 204.89 and 82.99 is: 114.52
Step by Step Solution
- Step 1: Write the proportion equation
148.47 : 204.89 = 82.99 : x - Step 2: Convert to fraction form
148.47/204.89 = 82.99/x - Step 3: Cross multiply
148.47x = 204.89 × 82.99 - Step 4: Simplify right side
148.47x = 17,002.86 - Step 5: Solve for x
x = 17,002.86/148.47 - Step 6: Final answer
x = 114.52
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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.