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Finding the Fourth Proportional to 132.32, 199.22 and 92.00

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Solution

The fourth proportional to 132.32, 199.22 and 92.00 is: 138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.32 : 199.22 = 92.00 : x
  2. Step 2: Convert to fraction form
    132.32/199.22 = 92.00/x
  3. Step 3: Cross multiply
    132.32x = 199.22 × 92.00
  4. Step 4: Simplify right side
    132.32x = 18,326.78
  5. Step 5: Solve for x
    x = 18,326.78/132.32
  6. Step 6: Final answer
    x = 138.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.