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Finding the Fourth Proportional to 165.33, 248.97 and 120

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Solution

The fourth proportional to 165.33, 248.97 and 120 is: 180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.33 : 248.97 = 120 : x
  2. Step 2: Convert to fraction form
    165.33/248.97 = 120/x
  3. Step 3: Cross multiply
    165.33x = 248.97 × 120
  4. Step 4: Simplify right side
    165.33x = 29,876.40
  5. Step 5: Solve for x
    x = 29,876.40/165.33
  6. Step 6: Final answer
    x = 180.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.