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Finding the Fourth Proportional to 137.80, 207.44 and 101.96

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Solution

The fourth proportional to 137.80, 207.44 and 101.96 is: 153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.80 : 207.44 = 101.96 : x
  2. Step 2: Convert to fraction form
    137.80/207.44 = 101.96/x
  3. Step 3: Cross multiply
    137.80x = 207.44 × 101.96
  4. Step 4: Simplify right side
    137.80x = 21,150.58
  5. Step 5: Solve for x
    x = 21,150.58/137.80
  6. Step 6: Final answer
    x = 153.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.