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Finding the Fourth Proportional to 113.44, 155.45 and 109.66

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Solution

The fourth proportional to 113.44, 155.45 and 109.66 is: 150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.44 : 155.45 = 109.66 : x
  2. Step 2: Convert to fraction form
    113.44/155.45 = 109.66/x
  3. Step 3: Cross multiply
    113.44x = 155.45 × 109.66
  4. Step 4: Simplify right side
    113.44x = 17,046.65
  5. Step 5: Solve for x
    x = 17,046.65/113.44
  6. Step 6: Final answer
    x = 150.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.