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Finding the Fourth Proportional to 132.70, 199 and 104

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Solution

The fourth proportional to 132.70, 199 and 104 is: 155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.70 : 199 = 104 : x
  2. Step 2: Convert to fraction form
    132.70/199 = 104/x
  3. Step 3: Cross multiply
    132.70x = 199 × 104
  4. Step 4: Simplify right side
    132.70x = 20,696
  5. Step 5: Solve for x
    x = 20,696/132.70
  6. Step 6: Final answer
    x = 155.96

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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.