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Finding the Fourth Proportional to 137.25, 205.89 and 76.40

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Solution

The fourth proportional to 137.25, 205.89 and 76.40 is: 114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.25 : 205.89 = 76.40 : x
  2. Step 2: Convert to fraction form
    137.25/205.89 = 76.40/x
  3. Step 3: Cross multiply
    137.25x = 205.89 × 76.40
  4. Step 4: Simplify right side
    137.25x = 15,730.00
  5. Step 5: Solve for x
    x = 15,730.00/137.25
  6. Step 6: Final answer
    x = 114.61

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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.