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Finding the Fourth Proportional to 129.45, 178.72 and 82.84

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Solution

The fourth proportional to 129.45, 178.72 and 82.84 is: 114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.45 : 178.72 = 82.84 : x
  2. Step 2: Convert to fraction form
    129.45/178.72 = 82.84/x
  3. Step 3: Cross multiply
    129.45x = 178.72 × 82.84
  4. Step 4: Simplify right side
    129.45x = 14,804.30
  5. Step 5: Solve for x
    x = 14,804.30/129.45
  6. Step 6: Final answer
    x = 114.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.