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Finding the Fourth Proportional to 548.43, 822.74 and 183.22

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Solution

The fourth proportional to 548.43, 822.74 and 183.22 is: 274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.43 : 822.74 = 183.22 : x
  2. Step 2: Convert to fraction form
    548.43/822.74 = 183.22/x
  3. Step 3: Cross multiply
    548.43x = 822.74 × 183.22
  4. Step 4: Simplify right side
    548.43x = 150,742.42
  5. Step 5: Solve for x
    x = 150,742.42/548.43
  6. Step 6: Final answer
    x = 274.86

Related Problems

Find fourth proportional to 274.22, 411.37 and 91.61
Half scale
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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.