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Finding the Fourth Proportional to 180.14, 269.98 and 77.39

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Solution

The fourth proportional to 180.14, 269.98 and 77.39 is: 115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.14 : 269.98 = 77.39 : x
  2. Step 2: Convert to fraction form
    180.14/269.98 = 77.39/x
  3. Step 3: Cross multiply
    180.14x = 269.98 × 77.39
  4. Step 4: Simplify right side
    180.14x = 20,893.75
  5. Step 5: Solve for x
    x = 20,893.75/180.14
  6. Step 6: Final answer
    x = 115.99

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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.