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Finding the Fourth Proportional to 139.46, 193.32 and 132.84

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Solution

The fourth proportional to 139.46, 193.32 and 132.84 is: 184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.46 : 193.32 = 132.84 : x
  2. Step 2: Convert to fraction form
    139.46/193.32 = 132.84/x
  3. Step 3: Cross multiply
    139.46x = 193.32 × 132.84
  4. Step 4: Simplify right side
    139.46x = 25,680.63
  5. Step 5: Solve for x
    x = 25,680.63/139.46
  6. Step 6: Final answer
    x = 184.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.