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Finding the Fourth Proportional to 180.18, 270.18 and 77.43

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Solution

The fourth proportional to 180.18, 270.18 and 77.43 is: 116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.18 : 270.18 = 77.43 : x
  2. Step 2: Convert to fraction form
    180.18/270.18 = 77.43/x
  3. Step 3: Cross multiply
    180.18x = 270.18 × 77.43
  4. Step 4: Simplify right side
    180.18x = 20,920.04
  5. Step 5: Solve for x
    x = 20,920.04/180.18
  6. Step 6: Final answer
    x = 116.11

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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.