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Finding the Fourth Proportional to 111.75, 153.07 and 110.53

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Solution

The fourth proportional to 111.75, 153.07 and 110.53 is: 151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.75 : 153.07 = 110.53 : x
  2. Step 2: Convert to fraction form
    111.75/153.07 = 110.53/x
  3. Step 3: Cross multiply
    111.75x = 153.07 × 110.53
  4. Step 4: Simplify right side
    111.75x = 16,919.36
  5. Step 5: Solve for x
    x = 16,919.36/111.75
  6. Step 6: Final answer
    x = 151.41

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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.