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Finding the Fourth Proportional to 180.72, 270.77 and 77.90

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Solution

The fourth proportional to 180.72, 270.77 and 77.90 is: 116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.72 : 270.77 = 77.90 : x
  2. Step 2: Convert to fraction form
    180.72/270.77 = 77.90/x
  3. Step 3: Cross multiply
    180.72x = 270.77 × 77.90
  4. Step 4: Simplify right side
    180.72x = 21,091.24
  5. Step 5: Solve for x
    x = 21,091.24/180.72
  6. Step 6: Final answer
    x = 116.71

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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.