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Finding the Fourth Proportional to 550.49, 825.74 and 139.63

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Solution

The fourth proportional to 550.49, 825.74 and 139.63 is: 209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.49 : 825.74 = 139.63 : x
  2. Step 2: Convert to fraction form
    550.49/825.74 = 139.63/x
  3. Step 3: Cross multiply
    550.49x = 825.74 × 139.63
  4. Step 4: Simplify right side
    550.49x = 115,293.25
  5. Step 5: Solve for x
    x = 115,293.25/550.49
  6. Step 6: Final answer
    x = 209.44

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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.