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Finding the Fourth Proportional to 118.50, 164.24 and 116.70

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Solution

The fourth proportional to 118.50, 164.24 and 116.70 is: 161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.50 : 164.24 = 116.70 : x
  2. Step 2: Convert to fraction form
    118.50/164.24 = 116.70/x
  3. Step 3: Cross multiply
    118.50x = 164.24 × 116.70
  4. Step 4: Simplify right side
    118.50x = 19,166.22
  5. Step 5: Solve for x
    x = 19,166.22/118.50
  6. Step 6: Final answer
    x = 161.74

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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.