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Finding the Fourth Proportional to 180.02, 270.05 and 110.57

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Solution

The fourth proportional to 180.02, 270.05 and 110.57 is: 165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.02 : 270.05 = 110.57 : x
  2. Step 2: Convert to fraction form
    180.02/270.05 = 110.57/x
  3. Step 3: Cross multiply
    180.02x = 270.05 × 110.57
  4. Step 4: Simplify right side
    180.02x = 29,858.88
  5. Step 5: Solve for x
    x = 29,858.88/180.02
  6. Step 6: Final answer
    x = 165.86

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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.