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Finding the Fourth Proportional to 113.33, 169.01 and 107.27

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Solution

The fourth proportional to 113.33, 169.01 and 107.27 is: 159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.33 : 169.01 = 107.27 : x
  2. Step 2: Convert to fraction form
    113.33/169.01 = 107.27/x
  3. Step 3: Cross multiply
    113.33x = 169.01 × 107.27
  4. Step 4: Simplify right side
    113.33x = 18,129.70
  5. Step 5: Solve for x
    x = 18,129.70/113.33
  6. Step 6: Final answer
    x = 159.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.