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Finding the Fourth Proportional to 549.21, 823.77 and 164.46

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Solution

The fourth proportional to 549.21, 823.77 and 164.46 is: 246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.21 : 823.77 = 164.46 : x
  2. Step 2: Convert to fraction form
    549.21/823.77 = 164.46/x
  3. Step 3: Cross multiply
    549.21x = 823.77 × 164.46
  4. Step 4: Simplify right side
    549.21x = 135,477.21
  5. Step 5: Solve for x
    x = 135,477.21/549.21
  6. Step 6: Final answer
    x = 246.68

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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.