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Finding the Fourth Proportional to 137.44, 206.01 and 96.85

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Solution

The fourth proportional to 137.44, 206.01 and 96.85 is: 145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.44 : 206.01 = 96.85 : x
  2. Step 2: Convert to fraction form
    137.44/206.01 = 96.85/x
  3. Step 3: Cross multiply
    137.44x = 206.01 × 96.85
  4. Step 4: Simplify right side
    137.44x = 19,952.07
  5. Step 5: Solve for x
    x = 19,952.07/137.44
  6. Step 6: Final answer
    x = 145.17

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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.