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Finding the Fourth Proportional to 320.25, 482.03 and 273.27

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Solution

The fourth proportional to 320.25, 482.03 and 273.27 is: 411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.25 : 482.03 = 273.27 : x
  2. Step 2: Convert to fraction form
    320.25/482.03 = 273.27/x
  3. Step 3: Cross multiply
    320.25x = 482.03 × 273.27
  4. Step 4: Simplify right side
    320.25x = 131,722.97
  5. Step 5: Solve for x
    x = 131,722.97/320.25
  6. Step 6: Final answer
    x = 411.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.