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Finding the Fourth Proportional to 550.76, 825.96 and 204.04

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Solution

The fourth proportional to 550.76, 825.96 and 204.04 is: 305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.76 : 825.96 = 204.04 : x
  2. Step 2: Convert to fraction form
    550.76/825.96 = 204.04/x
  3. Step 3: Cross multiply
    550.76x = 825.96 × 204.04
  4. Step 4: Simplify right side
    550.76x = 168,528.88
  5. Step 5: Solve for x
    x = 168,528.88/550.76
  6. Step 6: Final answer
    x = 305.99

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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.