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Finding the Fourth Proportional to 138.13, 205.75 and 137.65

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Solution

The fourth proportional to 138.13, 205.75 and 137.65 is: 205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.13 : 205.75 = 137.65 : x
  2. Step 2: Convert to fraction form
    138.13/205.75 = 137.65/x
  3. Step 3: Cross multiply
    138.13x = 205.75 × 137.65
  4. Step 4: Simplify right side
    138.13x = 28,321.49
  5. Step 5: Solve for x
    x = 28,321.49/138.13
  6. Step 6: Final answer
    x = 205.04

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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.