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Finding the Fourth Proportional to 134.90, 185.32 and 110.27

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Solution

The fourth proportional to 134.90, 185.32 and 110.27 is: 151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.90 : 185.32 = 110.27 : x
  2. Step 2: Convert to fraction form
    134.90/185.32 = 110.27/x
  3. Step 3: Cross multiply
    134.90x = 185.32 × 110.27
  4. Step 4: Simplify right side
    134.90x = 20,435.24
  5. Step 5: Solve for x
    x = 20,435.24/134.90
  6. Step 6: Final answer
    x = 151.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.