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Finding the Fourth Proportional to 546.19, 819.30 and 272.83

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Solution

The fourth proportional to 546.19, 819.30 and 272.83 is: 409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.19 : 819.30 = 272.83 : x
  2. Step 2: Convert to fraction form
    546.19/819.30 = 272.83/x
  3. Step 3: Cross multiply
    546.19x = 819.30 × 272.83
  4. Step 4: Simplify right side
    546.19x = 223,529.62
  5. Step 5: Solve for x
    x = 223,529.62/546.19
  6. Step 6: Final answer
    x = 409.25

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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.