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Finding the Fourth Proportional to 111.14, 154.16 and 107.48

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Solution

The fourth proportional to 111.14, 154.16 and 107.48 is: 149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.14 : 154.16 = 107.48 : x
  2. Step 2: Convert to fraction form
    111.14/154.16 = 107.48/x
  3. Step 3: Cross multiply
    111.14x = 154.16 × 107.48
  4. Step 4: Simplify right side
    111.14x = 16,569.12
  5. Step 5: Solve for x
    x = 16,569.12/111.14
  6. Step 6: Final answer
    x = 149.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.