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Finding the Fourth Proportional to 109.36, 150.26 and 101.44

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Solution

The fourth proportional to 109.36, 150.26 and 101.44 is: 139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.36 : 150.26 = 101.44 : x
  2. Step 2: Convert to fraction form
    109.36/150.26 = 101.44/x
  3. Step 3: Cross multiply
    109.36x = 150.26 × 101.44
  4. Step 4: Simplify right side
    109.36x = 15,242.37
  5. Step 5: Solve for x
    x = 15,242.37/109.36
  6. Step 6: Final answer
    x = 139.38

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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.