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Finding the Fourth Proportional to 132.58, 184.22 and 131.15

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Solution

The fourth proportional to 132.58, 184.22 and 131.15 is: 182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.58 : 184.22 = 131.15 : x
  2. Step 2: Convert to fraction form
    132.58/184.22 = 131.15/x
  3. Step 3: Cross multiply
    132.58x = 184.22 × 131.15
  4. Step 4: Simplify right side
    132.58x = 24,160.38
  5. Step 5: Solve for x
    x = 24,160.38/132.58
  6. Step 6: Final answer
    x = 182.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.