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Finding the Fourth Proportional to 118.46, 178.39 and 103.43

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Solution

The fourth proportional to 118.46, 178.39 and 103.43 is: 155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.46 : 178.39 = 103.43 : x
  2. Step 2: Convert to fraction form
    118.46/178.39 = 103.43/x
  3. Step 3: Cross multiply
    118.46x = 178.39 × 103.43
  4. Step 4: Simplify right side
    118.46x = 18,449.87
  5. Step 5: Solve for x
    x = 18,449.87/118.46
  6. Step 6: Final answer
    x = 155.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.