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Finding the Fourth Proportional to 138.48, 207.45 and 112.83

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Solution

The fourth proportional to 138.48, 207.45 and 112.83 is: 169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.48 : 207.45 = 112.83 : x
  2. Step 2: Convert to fraction form
    138.48/207.45 = 112.83/x
  3. Step 3: Cross multiply
    138.48x = 207.45 × 112.83
  4. Step 4: Simplify right side
    138.48x = 23,406.58
  5. Step 5: Solve for x
    x = 23,406.58/138.48
  6. Step 6: Final answer
    x = 169.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.