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Finding the Fourth Proportional to 118.83, 179.06 and 117.84

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Solution

The fourth proportional to 118.83, 179.06 and 117.84 is: 177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.83 : 179.06 = 117.84 : x
  2. Step 2: Convert to fraction form
    118.83/179.06 = 117.84/x
  3. Step 3: Cross multiply
    118.83x = 179.06 × 117.84
  4. Step 4: Simplify right side
    118.83x = 21,100.73
  5. Step 5: Solve for x
    x = 21,100.73/118.83
  6. Step 6: Final answer
    x = 177.57

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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.