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Finding the Fourth Proportional to 469.80, 648.33 and 273.33

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Solution

The fourth proportional to 469.80, 648.33 and 273.33 is: 377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.80 : 648.33 = 273.33 : x
  2. Step 2: Convert to fraction form
    469.80/648.33 = 273.33/x
  3. Step 3: Cross multiply
    469.80x = 648.33 × 273.33
  4. Step 4: Simplify right side
    469.80x = 177,208.04
  5. Step 5: Solve for x
    x = 177,208.04/469.80
  6. Step 6: Final answer
    x = 377.20

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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.