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Finding the Fourth Proportional to 550.21, 825.42 and 180.12

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Solution

The fourth proportional to 550.21, 825.42 and 180.12 is: 270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.21 : 825.42 = 180.12 : x
  2. Step 2: Convert to fraction form
    550.21/825.42 = 180.12/x
  3. Step 3: Cross multiply
    550.21x = 825.42 × 180.12
  4. Step 4: Simplify right side
    550.21x = 148,674.65
  5. Step 5: Solve for x
    x = 148,674.65/550.21
  6. Step 6: Final answer
    x = 270.21

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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.