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Finding the Fourth Proportional to 546.25, 819.38 and 204.25

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Solution

The fourth proportional to 546.25, 819.38 and 204.25 is: 306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.25 : 819.38 = 204.25 : x
  2. Step 2: Convert to fraction form
    546.25/819.38 = 204.25/x
  3. Step 3: Cross multiply
    546.25x = 819.38 × 204.25
  4. Step 4: Simplify right side
    546.25x = 167,358.37
  5. Step 5: Solve for x
    x = 167,358.37/546.25
  6. Step 6: Final answer
    x = 306.38

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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.