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Finding the Fourth Proportional to 129.46, 193.34 and 103.82

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Solution

The fourth proportional to 129.46, 193.34 and 103.82 is: 155.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.46 : 193.34 = 103.82 : x
  2. Step 2: Convert to fraction form
    129.46/193.34 = 103.82/x
  3. Step 3: Cross multiply
    129.46x = 193.34 × 103.82
  4. Step 4: Simplify right side
    129.46x = 20,072.56
  5. Step 5: Solve for x
    x = 20,072.56/129.46
  6. Step 6: Final answer
    x = 155.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.