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Finding the Fourth Proportional to 470.31, 649.07 and 273.81

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Solution

The fourth proportional to 470.31, 649.07 and 273.81 is: 377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.31 : 649.07 = 273.81 : x
  2. Step 2: Convert to fraction form
    470.31/649.07 = 273.81/x
  3. Step 3: Cross multiply
    470.31x = 649.07 × 273.81
  4. Step 4: Simplify right side
    470.31x = 177,721.86
  5. Step 5: Solve for x
    x = 177,721.86/470.31
  6. Step 6: Final answer
    x = 377.88

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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.