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Finding the Fourth Proportional to 101.28, 138.86 and 99.46

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Solution

The fourth proportional to 101.28, 138.86 and 99.46 is: 136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.28 : 138.86 = 99.46 : x
  2. Step 2: Convert to fraction form
    101.28/138.86 = 99.46/x
  3. Step 3: Cross multiply
    101.28x = 138.86 × 99.46
  4. Step 4: Simplify right side
    101.28x = 13,811.02
  5. Step 5: Solve for x
    x = 13,811.02/101.28
  6. Step 6: Final answer
    x = 136.36

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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.