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Finding the Fourth Proportional to 138.50, 207.01 and 127.56

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Solution

The fourth proportional to 138.50, 207.01 and 127.56 is: 190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.50 : 207.01 = 127.56 : x
  2. Step 2: Convert to fraction form
    138.50/207.01 = 127.56/x
  3. Step 3: Cross multiply
    138.50x = 207.01 × 127.56
  4. Step 4: Simplify right side
    138.50x = 26,405.25
  5. Step 5: Solve for x
    x = 26,405.25/138.50
  6. Step 6: Final answer
    x = 190.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.