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Finding the Fourth Proportional to 427.85, 640.70 and 273.32

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Solution

The fourth proportional to 427.85, 640.70 and 273.32 is: 409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.85 : 640.70 = 273.32 : x
  2. Step 2: Convert to fraction form
    427.85/640.70 = 273.32/x
  3. Step 3: Cross multiply
    427.85x = 640.70 × 273.32
  4. Step 4: Simplify right side
    427.85x = 175,111.55
  5. Step 5: Solve for x
    x = 175,111.55/427.85
  6. Step 6: Final answer
    x = 409.29

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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.