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Finding the Fourth Proportional to 111.30, 167.15 and 84.43

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Solution

The fourth proportional to 111.30, 167.15 and 84.43 is: 126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.30 : 167.15 = 84.43 : x
  2. Step 2: Convert to fraction form
    111.30/167.15 = 84.43/x
  3. Step 3: Cross multiply
    111.30x = 167.15 × 84.43
  4. Step 4: Simplify right side
    111.30x = 14,112.47
  5. Step 5: Solve for x
    x = 14,112.47/111.30
  6. Step 6: Final answer
    x = 126.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.