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Finding the Fourth Proportional to 427.11, 639.58 and 273.21

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Solution

The fourth proportional to 427.11, 639.58 and 273.21 is: 409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.11 : 639.58 = 273.21 : x
  2. Step 2: Convert to fraction form
    427.11/639.58 = 273.21/x
  3. Step 3: Cross multiply
    427.11x = 639.58 × 273.21
  4. Step 4: Simplify right side
    427.11x = 174,739.65
  5. Step 5: Solve for x
    x = 174,739.65/427.11
  6. Step 6: Final answer
    x = 409.12

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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.