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Finding the Fourth Proportional to 138.06, 207.00 and 122.87

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Solution

The fourth proportional to 138.06, 207.00 and 122.87 is: 184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.06 : 207.00 = 122.87 : x
  2. Step 2: Convert to fraction form
    138.06/207.00 = 122.87/x
  3. Step 3: Cross multiply
    138.06x = 207.00 × 122.87
  4. Step 4: Simplify right side
    138.06x = 25,433.48
  5. Step 5: Solve for x
    x = 25,433.48/138.06
  6. Step 6: Final answer
    x = 184.22

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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.