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Finding the Fourth Proportional to 187.40, 258.49 and 132.27

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Solution

The fourth proportional to 187.40, 258.49 and 132.27 is: 182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.40 : 258.49 = 132.27 : x
  2. Step 2: Convert to fraction form
    187.40/258.49 = 132.27/x
  3. Step 3: Cross multiply
    187.40x = 258.49 × 132.27
  4. Step 4: Simplify right side
    187.40x = 34,190.47
  5. Step 5: Solve for x
    x = 34,190.47/187.40
  6. Step 6: Final answer
    x = 182.45

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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.