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Finding the Fourth Proportional to 101.20, 138.50 and 98.41

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Solution

The fourth proportional to 101.20, 138.50 and 98.41 is: 134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.20 : 138.50 = 98.41 : x
  2. Step 2: Convert to fraction form
    101.20/138.50 = 98.41/x
  3. Step 3: Cross multiply
    101.20x = 138.50 × 98.41
  4. Step 4: Simplify right side
    101.20x = 13,629.79
  5. Step 5: Solve for x
    x = 13,629.79/101.20
  6. Step 6: Final answer
    x = 134.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.