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Finding the Fourth Proportional to 118.35, 178.43 and 106.61

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Solution

The fourth proportional to 118.35, 178.43 and 106.61 is: 160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.35 : 178.43 = 106.61 : x
  2. Step 2: Convert to fraction form
    118.35/178.43 = 106.61/x
  3. Step 3: Cross multiply
    118.35x = 178.43 × 106.61
  4. Step 4: Simplify right side
    118.35x = 19,021.00
  5. Step 5: Solve for x
    x = 19,021.00/118.35
  6. Step 6: Final answer
    x = 160.72

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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.