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Finding the Fourth Proportional to 548.14, 822.16 and 182.97

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Solution

The fourth proportional to 548.14, 822.16 and 182.97 is: 274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.14 : 822.16 = 182.97 : x
  2. Step 2: Convert to fraction form
    548.14/822.16 = 182.97/x
  3. Step 3: Cross multiply
    548.14x = 822.16 × 182.97
  4. Step 4: Simplify right side
    548.14x = 150,430.62
  5. Step 5: Solve for x
    x = 150,430.62/548.14
  6. Step 6: Final answer
    x = 274.44

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Double scale
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Similar ratio
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1.5x scale

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.