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Finding the Fourth Proportional to 180.41, 270.55 and 115.31

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Solution

The fourth proportional to 180.41, 270.55 and 115.31 is: 172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.41 : 270.55 = 115.31 : x
  2. Step 2: Convert to fraction form
    180.41/270.55 = 115.31/x
  3. Step 3: Cross multiply
    180.41x = 270.55 × 115.31
  4. Step 4: Simplify right side
    180.41x = 31,197.94
  5. Step 5: Solve for x
    x = 31,197.94/180.41
  6. Step 6: Final answer
    x = 172.93

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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.