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Finding the Fourth Proportional to 111.16, 152.16 and 107.65

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Solution

The fourth proportional to 111.16, 152.16 and 107.65 is: 147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.16 : 152.16 = 107.65 : x
  2. Step 2: Convert to fraction form
    111.16/152.16 = 107.65/x
  3. Step 3: Cross multiply
    111.16x = 152.16 × 107.65
  4. Step 4: Simplify right side
    111.16x = 16,380.02
  5. Step 5: Solve for x
    x = 16,380.02/111.16
  6. Step 6: Final answer
    x = 147.36

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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.