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Finding the Fourth Proportional to 550.21, 758.81 and 392.54

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Solution

The fourth proportional to 550.21, 758.81 and 392.54 is: 541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.21 : 758.81 = 392.54 : x
  2. Step 2: Convert to fraction form
    550.21/758.81 = 392.54/x
  3. Step 3: Cross multiply
    550.21x = 758.81 × 392.54
  4. Step 4: Simplify right side
    550.21x = 297,859.48
  5. Step 5: Solve for x
    x = 297,859.48/550.21
  6. Step 6: Final answer
    x = 541.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.