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Finding the Fourth Proportional to 548.24, 821.76 and 273.75

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Solution

The fourth proportional to 548.24, 821.76 and 273.75 is: 410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.24 : 821.76 = 273.75 : x
  2. Step 2: Convert to fraction form
    548.24/821.76 = 273.75/x
  3. Step 3: Cross multiply
    548.24x = 821.76 × 273.75
  4. Step 4: Simplify right side
    548.24x = 224,956.80
  5. Step 5: Solve for x
    x = 224,956.80/548.24
  6. Step 6: Final answer
    x = 410.33

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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.