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Finding the Fourth Proportional to 180.72, 270.47 and 122.70

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Solution

The fourth proportional to 180.72, 270.47 and 122.70 is: 183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.72 : 270.47 = 122.70 : x
  2. Step 2: Convert to fraction form
    180.72/270.47 = 122.70/x
  3. Step 3: Cross multiply
    180.72x = 270.47 × 122.70
  4. Step 4: Simplify right side
    180.72x = 33,187.99
  5. Step 5: Solve for x
    x = 33,187.99/180.72
  6. Step 6: Final answer
    x = 183.64

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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.