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Finding the Fourth Proportional to 137.03, 206.64 and 131.09

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Solution

The fourth proportional to 137.03, 206.64 and 131.09 is: 197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.03 : 206.64 = 131.09 : x
  2. Step 2: Convert to fraction form
    137.03/206.64 = 131.09/x
  3. Step 3: Cross multiply
    137.03x = 206.64 × 131.09
  4. Step 4: Simplify right side
    137.03x = 27,087.40
  5. Step 5: Solve for x
    x = 27,087.40/137.03
  6. Step 6: Final answer
    x = 197.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.