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Finding the Fourth Proportional to 118.50, 163.49 and 85.80

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Solution

The fourth proportional to 118.50, 163.49 and 85.80 is: 118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.50 : 163.49 = 85.80 : x
  2. Step 2: Convert to fraction form
    118.50/163.49 = 85.80/x
  3. Step 3: Cross multiply
    118.50x = 163.49 × 85.80
  4. Step 4: Simplify right side
    118.50x = 14,027.44
  5. Step 5: Solve for x
    x = 14,027.44/118.50
  6. Step 6: Final answer
    x = 118.38

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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.