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Finding the Fourth Proportional to 101.45, 138.84 and 100.37

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Solution

The fourth proportional to 101.45, 138.84 and 100.37 is: 137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.45 : 138.84 = 100.37 : x
  2. Step 2: Convert to fraction form
    101.45/138.84 = 100.37/x
  3. Step 3: Cross multiply
    101.45x = 138.84 × 100.37
  4. Step 4: Simplify right side
    101.45x = 13,934.87
  5. Step 5: Solve for x
    x = 13,934.87/101.45
  6. Step 6: Final answer
    x = 137.36

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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.