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Finding the Fourth Proportional to 547.50, 820.84 and 182.19

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Solution

The fourth proportional to 547.50, 820.84 and 182.19 is: 273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.50 : 820.84 = 182.19 : x
  2. Step 2: Convert to fraction form
    547.50/820.84 = 182.19/x
  3. Step 3: Cross multiply
    547.50x = 820.84 × 182.19
  4. Step 4: Simplify right side
    547.50x = 149,548.84
  5. Step 5: Solve for x
    x = 149,548.84/547.50
  6. Step 6: Final answer
    x = 273.15

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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.