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Finding the Fourth Proportional to 137.47, 206.61 and 92.09

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Solution

The fourth proportional to 137.47, 206.61 and 92.09 is: 138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.47 : 206.61 = 92.09 : x
  2. Step 2: Convert to fraction form
    137.47/206.61 = 92.09/x
  3. Step 3: Cross multiply
    137.47x = 206.61 × 92.09
  4. Step 4: Simplify right side
    137.47x = 19,025.22
  5. Step 5: Solve for x
    x = 19,025.22/137.47
  6. Step 6: Final answer
    x = 138.40

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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.