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Finding the Fourth Proportional to 138.45, 208.50 and 116.97

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Solution

The fourth proportional to 138.45, 208.50 and 116.97 is: 176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.45 : 208.50 = 116.97 : x
  2. Step 2: Convert to fraction form
    138.45/208.50 = 116.97/x
  3. Step 3: Cross multiply
    138.45x = 208.50 × 116.97
  4. Step 4: Simplify right side
    138.45x = 24,388.25
  5. Step 5: Solve for x
    x = 24,388.25/138.45
  6. Step 6: Final answer
    x = 176.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.