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Finding the Fourth Proportional to 180.07, 269.91 and 77.29

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Solution

The fourth proportional to 180.07, 269.91 and 77.29 is: 115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.07 : 269.91 = 77.29 : x
  2. Step 2: Convert to fraction form
    180.07/269.91 = 77.29/x
  3. Step 3: Cross multiply
    180.07x = 269.91 × 77.29
  4. Step 4: Simplify right side
    180.07x = 20,861.34
  5. Step 5: Solve for x
    x = 20,861.34/180.07
  6. Step 6: Final answer
    x = 115.85

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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.