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Finding the Fourth Proportional to 138.80, 207.22 and 127.40

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Solution

The fourth proportional to 138.80, 207.22 and 127.40 is: 190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.80 : 207.22 = 127.40 : x
  2. Step 2: Convert to fraction form
    138.80/207.22 = 127.40/x
  3. Step 3: Cross multiply
    138.80x = 207.22 × 127.40
  4. Step 4: Simplify right side
    138.80x = 26,399.83
  5. Step 5: Solve for x
    x = 26,399.83/138.80
  6. Step 6: Final answer
    x = 190.20

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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.