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Finding the Fourth Proportional to 550.08, 824.32 and 261.12

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Solution

The fourth proportional to 550.08, 824.32 and 261.12 is: 391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.08 : 824.32 = 261.12 : x
  2. Step 2: Convert to fraction form
    550.08/824.32 = 261.12/x
  3. Step 3: Cross multiply
    550.08x = 824.32 × 261.12
  4. Step 4: Simplify right side
    550.08x = 215,246.44
  5. Step 5: Solve for x
    x = 215,246.44/550.08
  6. Step 6: Final answer
    x = 391.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.