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Finding the Fourth Proportional to 180.36, 270.14 and 126.23

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Solution

The fourth proportional to 180.36, 270.14 and 126.23 is: 189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.36 : 270.14 = 126.23 : x
  2. Step 2: Convert to fraction form
    180.36/270.14 = 126.23/x
  3. Step 3: Cross multiply
    180.36x = 270.14 × 126.23
  4. Step 4: Simplify right side
    180.36x = 34,097.79
  5. Step 5: Solve for x
    x = 34,097.79/180.36
  6. Step 6: Final answer
    x = 189.05

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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.