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Finding the Fourth Proportional to 470.13, 648.78 and 273.70

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Solution

The fourth proportional to 470.13, 648.78 and 273.70 is: 377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.13 : 648.78 = 273.70 : x
  2. Step 2: Convert to fraction form
    470.13/648.78 = 273.70/x
  3. Step 3: Cross multiply
    470.13x = 648.78 × 273.70
  4. Step 4: Simplify right side
    470.13x = 177,571.09
  5. Step 5: Solve for x
    x = 177,571.09/470.13
  6. Step 6: Final answer
    x = 377.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.