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Finding the Fourth Proportional to 548.52, 822.78 and 183.24

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Solution

The fourth proportional to 548.52, 822.78 and 183.24 is: 274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.52 : 822.78 = 183.24 : x
  2. Step 2: Convert to fraction form
    548.52/822.78 = 183.24/x
  3. Step 3: Cross multiply
    548.52x = 822.78 × 183.24
  4. Step 4: Simplify right side
    548.52x = 150,766.21
  5. Step 5: Solve for x
    x = 150,766.21/548.52
  6. Step 6: Final answer
    x = 274.86

Related Problems

Find fourth proportional to 274.26, 411.39 and 91.62
Half scale
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Double scale
Find fourth proportional to 549.52, 824.28 and 184.24
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.