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Finding the Fourth Proportional to 187.72, 258.84 and 132.48

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Solution

The fourth proportional to 187.72, 258.84 and 132.48 is: 182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.72 : 258.84 = 132.48 : x
  2. Step 2: Convert to fraction form
    187.72/258.84 = 132.48/x
  3. Step 3: Cross multiply
    187.72x = 258.84 × 132.48
  4. Step 4: Simplify right side
    187.72x = 34,291.12
  5. Step 5: Solve for x
    x = 34,291.12/187.72
  6. Step 6: Final answer
    x = 182.67

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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.