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Finding the Fourth Proportional to 187.25, 280.44 and 105.89

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Solution

The fourth proportional to 187.25, 280.44 and 105.89 is: 158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.25 : 280.44 = 105.89 : x
  2. Step 2: Convert to fraction form
    187.25/280.44 = 105.89/x
  3. Step 3: Cross multiply
    187.25x = 280.44 × 105.89
  4. Step 4: Simplify right side
    187.25x = 29,694.39
  5. Step 5: Solve for x
    x = 29,694.39/187.25
  6. Step 6: Final answer
    x = 158.59

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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.