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Finding the Fourth Proportional to 470.80, 648.36 and 339.60

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Solution

The fourth proportional to 470.80, 648.36 and 339.60 is: 467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.80 : 648.36 = 339.60 : x
  2. Step 2: Convert to fraction form
    470.80/648.36 = 339.60/x
  3. Step 3: Cross multiply
    470.80x = 648.36 × 339.60
  4. Step 4: Simplify right side
    470.80x = 220,183.06
  5. Step 5: Solve for x
    x = 220,183.06/470.80
  6. Step 6: Final answer
    x = 467.68

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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.