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Finding the Fourth Proportional to 166.54, 247.02 and 164.11

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Solution

The fourth proportional to 166.54, 247.02 and 164.11 is: 243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.54 : 247.02 = 164.11 : x
  2. Step 2: Convert to fraction form
    166.54/247.02 = 164.11/x
  3. Step 3: Cross multiply
    166.54x = 247.02 × 164.11
  4. Step 4: Simplify right side
    166.54x = 40,538.45
  5. Step 5: Solve for x
    x = 40,538.45/166.54
  6. Step 6: Final answer
    x = 243.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.