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Finding the Fourth Proportional to 543.36, 816.20 and 327.04

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Solution

The fourth proportional to 543.36, 816.20 and 327.04 is: 491.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.36 : 816.20 = 327.04 : x
  2. Step 2: Convert to fraction form
    543.36/816.20 = 327.04/x
  3. Step 3: Cross multiply
    543.36x = 816.20 × 327.04
  4. Step 4: Simplify right side
    543.36x = 266,930.05
  5. Step 5: Solve for x
    x = 266,930.05/543.36
  6. Step 6: Final answer
    x = 491.26

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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.