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Finding the Fourth Proportional to 550.68, 826.16 and 261.80

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Solution

The fourth proportional to 550.68, 826.16 and 261.80 is: 392.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.68 : 826.16 = 261.80 : x
  2. Step 2: Convert to fraction form
    550.68/826.16 = 261.80/x
  3. Step 3: Cross multiply
    550.68x = 826.16 × 261.80
  4. Step 4: Simplify right side
    550.68x = 216,288.69
  5. Step 5: Solve for x
    x = 216,288.69/550.68
  6. Step 6: Final answer
    x = 392.77

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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.