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Finding the Fourth Proportional to 470.26, 649.06 and 273.80

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Solution

The fourth proportional to 470.26, 649.06 and 273.80 is: 377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.26 : 649.06 = 273.80 : x
  2. Step 2: Convert to fraction form
    470.26/649.06 = 273.80/x
  3. Step 3: Cross multiply
    470.26x = 649.06 × 273.80
  4. Step 4: Simplify right side
    470.26x = 177,712.63
  5. Step 5: Solve for x
    x = 177,712.63/470.26
  6. Step 6: Final answer
    x = 377.90

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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.