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Finding the Fourth Proportional to 470.80, 649.37 and 293.61

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Solution

The fourth proportional to 470.80, 649.37 and 293.61 is: 404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.80 : 649.37 = 293.61 : x
  2. Step 2: Convert to fraction form
    470.80/649.37 = 293.61/x
  3. Step 3: Cross multiply
    470.80x = 649.37 × 293.61
  4. Step 4: Simplify right side
    470.80x = 190,660.06
  5. Step 5: Solve for x
    x = 190,660.06/470.80
  6. Step 6: Final answer
    x = 404.97

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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.