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Finding the Fourth Proportional to 137.03, 205.07 and 96.26

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Solution

The fourth proportional to 137.03, 205.07 and 96.26 is: 144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.03 : 205.07 = 96.26 : x
  2. Step 2: Convert to fraction form
    137.03/205.07 = 96.26/x
  3. Step 3: Cross multiply
    137.03x = 205.07 × 96.26
  4. Step 4: Simplify right side
    137.03x = 19,738.53
  5. Step 5: Solve for x
    x = 19,738.53/137.03
  6. Step 6: Final answer
    x = 144.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.