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Finding the Fourth Proportional to 132.32, 180.32 and 131.84

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Solution

The fourth proportional to 132.32, 180.32 and 131.84 is: 179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.32 : 180.32 = 131.84 : x
  2. Step 2: Convert to fraction form
    132.32/180.32 = 131.84/x
  3. Step 3: Cross multiply
    132.32x = 180.32 × 131.84
  4. Step 4: Simplify right side
    132.32x = 23,773.39
  5. Step 5: Solve for x
    x = 23,773.39/132.32
  6. Step 6: Final answer
    x = 179.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.