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Finding the Fourth Proportional to 137.69, 207.46 and 122.95

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Solution

The fourth proportional to 137.69, 207.46 and 122.95 is: 185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.69 : 207.46 = 122.95 : x
  2. Step 2: Convert to fraction form
    137.69/207.46 = 122.95/x
  3. Step 3: Cross multiply
    137.69x = 207.46 × 122.95
  4. Step 4: Simplify right side
    137.69x = 25,507.21
  5. Step 5: Solve for x
    x = 25,507.21/137.69
  6. Step 6: Final answer
    x = 185.25

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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.