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Finding the Fourth Proportional to 138.42, 206.60 and 137.48

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Solution

The fourth proportional to 138.42, 206.60 and 137.48 is: 205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.42 : 206.60 = 137.48 : x
  2. Step 2: Convert to fraction form
    138.42/206.60 = 137.48/x
  3. Step 3: Cross multiply
    138.42x = 206.60 × 137.48
  4. Step 4: Simplify right side
    138.42x = 28,401.65
  5. Step 5: Solve for x
    x = 28,401.65/138.42
  6. Step 6: Final answer
    x = 205.18

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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.