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Finding the Fourth Proportional to 470.39, 649.09 and 273.91

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Solution

The fourth proportional to 470.39, 649.09 and 273.91 is: 377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.39 : 649.09 = 273.91 : x
  2. Step 2: Convert to fraction form
    470.39/649.09 = 273.91/x
  3. Step 3: Cross multiply
    470.39x = 649.09 × 273.91
  4. Step 4: Simplify right side
    470.39x = 177,792.24
  5. Step 5: Solve for x
    x = 177,792.24/470.39
  6. Step 6: Final answer
    x = 377.97

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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.