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Finding the Fourth Proportional to 138.96, 207.43 and 111.64

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Solution

The fourth proportional to 138.96, 207.43 and 111.64 is: 166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.96 : 207.43 = 111.64 : x
  2. Step 2: Convert to fraction form
    138.96/207.43 = 111.64/x
  3. Step 3: Cross multiply
    138.96x = 207.43 × 111.64
  4. Step 4: Simplify right side
    138.96x = 23,157.49
  5. Step 5: Solve for x
    x = 23,157.49/138.96
  6. Step 6: Final answer
    x = 166.65

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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.