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Finding the Fourth Proportional to 132.88, 184.21 and 130.96

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Solution

The fourth proportional to 132.88, 184.21 and 130.96 is: 181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.88 : 184.21 = 130.96 : x
  2. Step 2: Convert to fraction form
    132.88/184.21 = 130.96/x
  3. Step 3: Cross multiply
    132.88x = 184.21 × 130.96
  4. Step 4: Simplify right side
    132.88x = 24,124.14
  5. Step 5: Solve for x
    x = 24,124.14/132.88
  6. Step 6: Final answer
    x = 181.55

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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.