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Finding the Fourth Proportional to 187.76, 258.83 and 132.33

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Solution

The fourth proportional to 187.76, 258.83 and 132.33 is: 182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.76 : 258.83 = 132.33 : x
  2. Step 2: Convert to fraction form
    187.76/258.83 = 132.33/x
  3. Step 3: Cross multiply
    187.76x = 258.83 × 132.33
  4. Step 4: Simplify right side
    187.76x = 34,250.31
  5. Step 5: Solve for x
    x = 34,250.31/187.76
  6. Step 6: Final answer
    x = 182.42

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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.