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Finding the Fourth Proportional to 132.05, 183.04 and 130.23

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Solution

The fourth proportional to 132.05, 183.04 and 130.23 is: 180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.05 : 183.04 = 130.23 : x
  2. Step 2: Convert to fraction form
    132.05/183.04 = 130.23/x
  3. Step 3: Cross multiply
    132.05x = 183.04 × 130.23
  4. Step 4: Simplify right side
    132.05x = 23,836.97
  5. Step 5: Solve for x
    x = 23,836.97/132.05
  6. Step 6: Final answer
    x = 180.51

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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.