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Finding the Fourth Proportional to 547.74, 821.41 and 182.42

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Solution

The fourth proportional to 547.74, 821.41 and 182.42 is: 273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.74 : 821.41 = 182.42 : x
  2. Step 2: Convert to fraction form
    547.74/821.41 = 182.42/x
  3. Step 3: Cross multiply
    547.74x = 821.41 × 182.42
  4. Step 4: Simplify right side
    547.74x = 149,841.61
  5. Step 5: Solve for x
    x = 149,841.61/547.74
  6. Step 6: Final answer
    x = 273.56

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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.