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Finding the Fourth Proportional to 118.82, 162.88 and 112.94

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Solution

The fourth proportional to 118.82, 162.88 and 112.94 is: 154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.82 : 162.88 = 112.94 : x
  2. Step 2: Convert to fraction form
    118.82/162.88 = 112.94/x
  3. Step 3: Cross multiply
    118.82x = 162.88 × 112.94
  4. Step 4: Simplify right side
    118.82x = 18,395.79
  5. Step 5: Solve for x
    x = 18,395.79/118.82
  6. Step 6: Final answer
    x = 154.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.