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Finding the Fourth Proportional to 113.99, 170.82 and 111.31

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Solution

The fourth proportional to 113.99, 170.82 and 111.31 is: 166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.99 : 170.82 = 111.31 : x
  2. Step 2: Convert to fraction form
    113.99/170.82 = 111.31/x
  3. Step 3: Cross multiply
    113.99x = 170.82 × 111.31
  4. Step 4: Simplify right side
    113.99x = 19,013.97
  5. Step 5: Solve for x
    x = 19,013.97/113.99
  6. Step 6: Final answer
    x = 166.80

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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.