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Finding the Fourth Proportional to 132.21, 182.27 and 113.98

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Solution

The fourth proportional to 132.21, 182.27 and 113.98 is: 157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.21 : 182.27 = 113.98 : x
  2. Step 2: Convert to fraction form
    132.21/182.27 = 113.98/x
  3. Step 3: Cross multiply
    132.21x = 182.27 × 113.98
  4. Step 4: Simplify right side
    132.21x = 20,775.13
  5. Step 5: Solve for x
    x = 20,775.13/132.21
  6. Step 6: Final answer
    x = 157.14

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