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Finding the Fourth Proportional to 427.83, 640.70 and 273.30

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Solution

The fourth proportional to 427.83, 640.70 and 273.30 is: 409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.83 : 640.70 = 273.30 : x
  2. Step 2: Convert to fraction form
    427.83/640.70 = 273.30/x
  3. Step 3: Cross multiply
    427.83x = 640.70 × 273.30
  4. Step 4: Simplify right side
    427.83x = 175,101.94
  5. Step 5: Solve for x
    x = 175,101.94/427.83
  6. Step 6: Final answer
    x = 409.28

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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.