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Finding the Fourth Proportional to 120.38, 180.47 and 110.77

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Solution

The fourth proportional to 120.38, 180.47 and 110.77 is: 166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.38 : 180.47 = 110.77 : x
  2. Step 2: Convert to fraction form
    120.38/180.47 = 110.77/x
  3. Step 3: Cross multiply
    120.38x = 180.47 × 110.77
  4. Step 4: Simplify right side
    120.38x = 19,989.21
  5. Step 5: Solve for x
    x = 19,989.21/120.38
  6. Step 6: Final answer
    x = 166.06

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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.