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Finding the Fourth Proportional to 138.21, 206.55 and 92.18

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Solution

The fourth proportional to 138.21, 206.55 and 92.18 is: 137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.21 : 206.55 = 92.18 : x
  2. Step 2: Convert to fraction form
    138.21/206.55 = 92.18/x
  3. Step 3: Cross multiply
    138.21x = 206.55 × 92.18
  4. Step 4: Simplify right side
    138.21x = 19,038.40
  5. Step 5: Solve for x
    x = 19,038.40/138.21
  6. Step 6: Final answer
    x = 137.75

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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.