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Finding the Fourth Proportional to 118.19, 178.71 and 118.19

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Solution

The fourth proportional to 118.19, 178.71 and 118.19 is: 178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.19 : 178.71 = 118.19 : x
  2. Step 2: Convert to fraction form
    118.19/178.71 = 118.19/x
  3. Step 3: Cross multiply
    118.19x = 178.71 × 118.19
  4. Step 4: Simplify right side
    118.19x = 21,121.74
  5. Step 5: Solve for x
    x = 21,121.74/118.19
  6. Step 6: Final answer
    x = 178.71

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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.