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Finding the Fourth Proportional to 118.32, 178.48 and 104.94

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Solution

The fourth proportional to 118.32, 178.48 and 104.94 is: 158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.32 : 178.48 = 104.94 : x
  2. Step 2: Convert to fraction form
    118.32/178.48 = 104.94/x
  3. Step 3: Cross multiply
    118.32x = 178.48 × 104.94
  4. Step 4: Simplify right side
    118.32x = 18,729.69
  5. Step 5: Solve for x
    x = 18,729.69/118.32
  6. Step 6: Final answer
    x = 158.30

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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.