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Finding the Fourth Proportional to 547.21, 819.42 and 364.04

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Solution

The fourth proportional to 547.21, 819.42 and 364.04 is: 545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.21 : 819.42 = 364.04 : x
  2. Step 2: Convert to fraction form
    547.21/819.42 = 364.04/x
  3. Step 3: Cross multiply
    547.21x = 819.42 × 364.04
  4. Step 4: Simplify right side
    547.21x = 298,301.66
  5. Step 5: Solve for x
    x = 298,301.66/547.21
  6. Step 6: Final answer
    x = 545.13

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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.