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Finding the Fourth Proportional to 138.96, 207.45 and 114.84

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Solution

The fourth proportional to 138.96, 207.45 and 114.84 is: 171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.96 : 207.45 = 114.84 : x
  2. Step 2: Convert to fraction form
    138.96/207.45 = 114.84/x
  3. Step 3: Cross multiply
    138.96x = 207.45 × 114.84
  4. Step 4: Simplify right side
    138.96x = 23,823.56
  5. Step 5: Solve for x
    x = 23,823.56/138.96
  6. Step 6: Final answer
    x = 171.44

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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.