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Finding the Fourth Proportional to 550.64, 826.02 and 165.86

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Solution

The fourth proportional to 550.64, 826.02 and 165.86 is: 248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.64 : 826.02 = 165.86 : x
  2. Step 2: Convert to fraction form
    550.64/826.02 = 165.86/x
  3. Step 3: Cross multiply
    550.64x = 826.02 × 165.86
  4. Step 4: Simplify right side
    550.64x = 137,003.68
  5. Step 5: Solve for x
    x = 137,003.68/550.64
  6. Step 6: Final answer
    x = 248.81

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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.