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Finding the Fourth Proportional to 118.80, 164.70 and 113.40

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Solution

The fourth proportional to 118.80, 164.70 and 113.40 is: 157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.80 : 164.70 = 113.40 : x
  2. Step 2: Convert to fraction form
    118.80/164.70 = 113.40/x
  3. Step 3: Cross multiply
    118.80x = 164.70 × 113.40
  4. Step 4: Simplify right side
    118.80x = 18,676.98
  5. Step 5: Solve for x
    x = 18,676.98/118.80
  6. Step 6: Final answer
    x = 157.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.