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Finding the Fourth Proportional to 135.18, 185.45 and 126.90

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Solution

The fourth proportional to 135.18, 185.45 and 126.90 is: 174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.18 : 185.45 = 126.90 : x
  2. Step 2: Convert to fraction form
    135.18/185.45 = 126.90/x
  3. Step 3: Cross multiply
    135.18x = 185.45 × 126.90
  4. Step 4: Simplify right side
    135.18x = 23,532.97
  5. Step 5: Solve for x
    x = 23,532.97/135.18
  6. Step 6: Final answer
    x = 174.09

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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.