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Finding the Fourth Proportional to 187.27, 257.83 and 169.63

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Solution

The fourth proportional to 187.27, 257.83 and 169.63 is: 233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.27 : 257.83 = 169.63 : x
  2. Step 2: Convert to fraction form
    187.27/257.83 = 169.63/x
  3. Step 3: Cross multiply
    187.27x = 257.83 × 169.63
  4. Step 4: Simplify right side
    187.27x = 43,735.70
  5. Step 5: Solve for x
    x = 43,735.70/187.27
  6. Step 6: Final answer
    x = 233.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.