Finding the Fourth Proportional to 135.04, 202.36 and 106.02
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Solution
The fourth proportional to 135.04, 202.36 and 106.02 is: 158.87
Step by Step Solution
- Step 1: Write the proportion equation
135.04 : 202.36 = 106.02 : x - Step 2: Convert to fraction form
135.04/202.36 = 106.02/x - Step 3: Cross multiply
135.04x = 202.36 × 106.02 - Step 4: Simplify right side
135.04x = 21,454.21 - Step 5: Solve for x
x = 21,454.21/135.04 - Step 6: Final answer
x = 158.87
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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.