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Finding the Fourth Proportional to 549.08, 823.67 and 183.97

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Solution

The fourth proportional to 549.08, 823.67 and 183.97 is: 275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.08 : 823.67 = 183.97 : x
  2. Step 2: Convert to fraction form
    549.08/823.67 = 183.97/x
  3. Step 3: Cross multiply
    549.08x = 823.67 × 183.97
  4. Step 4: Simplify right side
    549.08x = 151,531.37
  5. Step 5: Solve for x
    x = 151,531.37/549.08
  6. Step 6: Final answer
    x = 275.97

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Similar ratio
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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.