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Finding the Fourth Proportional to 101.09, 138.59 and 99.36

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Solution

The fourth proportional to 101.09, 138.59 and 99.36 is: 136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.09 : 138.59 = 99.36 : x
  2. Step 2: Convert to fraction form
    101.09/138.59 = 99.36/x
  3. Step 3: Cross multiply
    101.09x = 138.59 × 99.36
  4. Step 4: Simplify right side
    101.09x = 13,769.81
  5. Step 5: Solve for x
    x = 13,769.81/101.09
  6. Step 6: Final answer
    x = 136.22

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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.