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Finding the Fourth Proportional to 549.47, 824.11 and 164.63

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Solution

The fourth proportional to 549.47, 824.11 and 164.63 is: 246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.47 : 824.11 = 164.63 : x
  2. Step 2: Convert to fraction form
    549.47/824.11 = 164.63/x
  3. Step 3: Cross multiply
    549.47x = 824.11 × 164.63
  4. Step 4: Simplify right side
    549.47x = 135,668.70
  5. Step 5: Solve for x
    x = 135,668.70/549.47
  6. Step 6: Final answer
    x = 246.91

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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.