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Finding the Fourth Proportional to 180.13, 248.41 and 120.20

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Solution

The fourth proportional to 180.13, 248.41 and 120.20 is: 165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.13 : 248.41 = 120.20 : x
  2. Step 2: Convert to fraction form
    180.13/248.41 = 120.20/x
  3. Step 3: Cross multiply
    180.13x = 248.41 × 120.20
  4. Step 4: Simplify right side
    180.13x = 29,858.88
  5. Step 5: Solve for x
    x = 29,858.88/180.13
  6. Step 6: Final answer
    x = 165.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.