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Finding the Fourth Proportional to 138.25, 206.98 and 127.49

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Solution

The fourth proportional to 138.25, 206.98 and 127.49 is: 190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.25 : 206.98 = 127.49 : x
  2. Step 2: Convert to fraction form
    138.25/206.98 = 127.49/x
  3. Step 3: Cross multiply
    138.25x = 206.98 × 127.49
  4. Step 4: Simplify right side
    138.25x = 26,386.53
  5. Step 5: Solve for x
    x = 26,386.53/138.25
  6. Step 6: Final answer
    x = 190.86

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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.