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Finding the Fourth Proportional to 180.92, 270.26 and 144.89

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Solution

The fourth proportional to 180.92, 270.26 and 144.89 is: 216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.92 : 270.26 = 144.89 : x
  2. Step 2: Convert to fraction form
    180.92/270.26 = 144.89/x
  3. Step 3: Cross multiply
    180.92x = 270.26 × 144.89
  4. Step 4: Simplify right side
    180.92x = 39,155.90
  5. Step 5: Solve for x
    x = 39,155.90/180.92
  6. Step 6: Final answer
    x = 216.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.