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Finding the Fourth Proportional to 180.55, 270.65 and 84.25

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Solution

The fourth proportional to 180.55, 270.65 and 84.25 is: 126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.55 : 270.65 = 84.25 : x
  2. Step 2: Convert to fraction form
    180.55/270.65 = 84.25/x
  3. Step 3: Cross multiply
    180.55x = 270.65 × 84.25
  4. Step 4: Simplify right side
    180.55x = 22,801.84
  5. Step 5: Solve for x
    x = 22,801.84/180.55
  6. Step 6: Final answer
    x = 126.29

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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.