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Finding the Fourth Proportional to 138.16, 205.68 and 137.35

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Solution

The fourth proportional to 138.16, 205.68 and 137.35 is: 204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.16 : 205.68 = 137.35 : x
  2. Step 2: Convert to fraction form
    138.16/205.68 = 137.35/x
  3. Step 3: Cross multiply
    138.16x = 205.68 × 137.35
  4. Step 4: Simplify right side
    138.16x = 28,250.15
  5. Step 5: Solve for x
    x = 28,250.15/138.16
  6. Step 6: Final answer
    x = 204.47

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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.