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Finding the Fourth Proportional to 470.34, 649.04 and 273.83

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Solution

The fourth proportional to 470.34, 649.04 and 273.83 is: 377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.34 : 649.04 = 273.83 : x
  2. Step 2: Convert to fraction form
    470.34/649.04 = 273.83/x
  3. Step 3: Cross multiply
    470.34x = 649.04 × 273.83
  4. Step 4: Simplify right side
    470.34x = 177,722.01
  5. Step 5: Solve for x
    x = 177,722.01/470.34
  6. Step 6: Final answer
    x = 377.86

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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.