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Finding the Fourth Proportional to 137.07, 205.70 and 126.32

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Solution

The fourth proportional to 137.07, 205.70 and 126.32 is: 189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.07 : 205.70 = 126.32 : x
  2. Step 2: Convert to fraction form
    137.07/205.70 = 126.32/x
  3. Step 3: Cross multiply
    137.07x = 205.70 × 126.32
  4. Step 4: Simplify right side
    137.07x = 25,982.36
  5. Step 5: Solve for x
    x = 25,982.36/137.07
  6. Step 6: Final answer
    x = 189.56

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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.