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Finding the Fourth Proportional to 167.54, 248.50 and 165.11

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Solution

The fourth proportional to 167.54, 248.50 and 165.11 is: 244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.54 : 248.50 = 165.11 : x
  2. Step 2: Convert to fraction form
    167.54/248.50 = 165.11/x
  3. Step 3: Cross multiply
    167.54x = 248.50 × 165.11
  4. Step 4: Simplify right side
    167.54x = 41,029.84
  5. Step 5: Solve for x
    x = 41,029.84/167.54
  6. Step 6: Final answer
    x = 244.90

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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.