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Finding the Fourth Proportional to 132.82, 199.25 and 46.15

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Solution

The fourth proportional to 132.82, 199.25 and 46.15 is: 69.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.82 : 199.25 = 46.15 : x
  2. Step 2: Convert to fraction form
    132.82/199.25 = 46.15/x
  3. Step 3: Cross multiply
    132.82x = 199.25 × 46.15
  4. Step 4: Simplify right side
    132.82x = 9,194.98
  5. Step 5: Solve for x
    x = 9,194.98/132.82
  6. Step 6: Final answer
    x = 69.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.