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Finding the Fourth Proportional to 111.15, 152.27 and 107.21

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Solution

The fourth proportional to 111.15, 152.27 and 107.21 is: 146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.15 : 152.27 = 107.21 : x
  2. Step 2: Convert to fraction form
    111.15/152.27 = 107.21/x
  3. Step 3: Cross multiply
    111.15x = 152.27 × 107.21
  4. Step 4: Simplify right side
    111.15x = 16,324.87
  5. Step 5: Solve for x
    x = 16,324.87/111.15
  6. Step 6: Final answer
    x = 146.87

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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.