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Finding the Fourth Proportional to 118.89, 164.09 and 86.15

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Solution

The fourth proportional to 118.89, 164.09 and 86.15 is: 118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.89 : 164.09 = 86.15 : x
  2. Step 2: Convert to fraction form
    118.89/164.09 = 86.15/x
  3. Step 3: Cross multiply
    118.89x = 164.09 × 86.15
  4. Step 4: Simplify right side
    118.89x = 14,136.98
  5. Step 5: Solve for x
    x = 14,136.98/118.89
  6. Step 6: Final answer
    x = 118.91

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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.