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Finding the Fourth Proportional to 548.72, 823.19 and 183.50

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Solution

The fourth proportional to 548.72, 823.19 and 183.50 is: 275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.72 : 823.19 = 183.50 : x
  2. Step 2: Convert to fraction form
    548.72/823.19 = 183.50/x
  3. Step 3: Cross multiply
    548.72x = 823.19 × 183.50
  4. Step 4: Simplify right side
    548.72x = 151,050.33
  5. Step 5: Solve for x
    x = 151,050.33/548.72
  6. Step 6: Final answer
    x = 275.28

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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.