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Finding the Fourth Proportional to 548.19, 822.31 and 182.97

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Solution

The fourth proportional to 548.19, 822.31 and 182.97 is: 274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.19 : 822.31 = 182.97 : x
  2. Step 2: Convert to fraction form
    548.19/822.31 = 182.97/x
  3. Step 3: Cross multiply
    548.19x = 822.31 × 182.97
  4. Step 4: Simplify right side
    548.19x = 150,457.60
  5. Step 5: Solve for x
    x = 150,457.60/548.19
  6. Step 6: Final answer
    x = 274.46

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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.