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Finding the Fourth Proportional to 118.84, 164.34 and 112.96

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Solution

The fourth proportional to 118.84, 164.34 and 112.96 is: 156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.84 : 164.34 = 112.96 : x
  2. Step 2: Convert to fraction form
    118.84/164.34 = 112.96/x
  3. Step 3: Cross multiply
    118.84x = 164.34 × 112.96
  4. Step 4: Simplify right side
    118.84x = 18,563.85
  5. Step 5: Solve for x
    x = 18,563.85/118.84
  6. Step 6: Final answer
    x = 156.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.