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Finding the Fourth Proportional to 547.23, 819.95 and 330.15

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Solution

The fourth proportional to 547.23, 819.95 and 330.15 is: 494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.23 : 819.95 = 330.15 : x
  2. Step 2: Convert to fraction form
    547.23/819.95 = 330.15/x
  3. Step 3: Cross multiply
    547.23x = 819.95 × 330.15
  4. Step 4: Simplify right side
    547.23x = 270,704.84
  5. Step 5: Solve for x
    x = 270,704.84/547.23
  6. Step 6: Final answer
    x = 494.68

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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.