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Finding the Fourth Proportional to 111.84, 153.42 and 109.44

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Solution

The fourth proportional to 111.84, 153.42 and 109.44 is: 150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.84 : 153.42 = 109.44 : x
  2. Step 2: Convert to fraction form
    111.84/153.42 = 109.44/x
  3. Step 3: Cross multiply
    111.84x = 153.42 × 109.44
  4. Step 4: Simplify right side
    111.84x = 16,790.28
  5. Step 5: Solve for x
    x = 16,790.28/111.84
  6. Step 6: Final answer
    x = 150.13

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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.