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Finding the Fourth Proportional to 547.31, 821.24 and 273.38

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Solution

The fourth proportional to 547.31, 821.24 and 273.38 is: 410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.31 : 821.24 = 273.38 : x
  2. Step 2: Convert to fraction form
    547.31/821.24 = 273.38/x
  3. Step 3: Cross multiply
    547.31x = 821.24 × 273.38
  4. Step 4: Simplify right side
    547.31x = 224,505.28
  5. Step 5: Solve for x
    x = 224,505.28/547.31
  6. Step 6: Final answer
    x = 410.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.