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Finding the Fourth Proportional to 111.64, 155.14 and 110.53

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Solution

The fourth proportional to 111.64, 155.14 and 110.53 is: 153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.64 : 155.14 = 110.53 : x
  2. Step 2: Convert to fraction form
    111.64/155.14 = 110.53/x
  3. Step 3: Cross multiply
    111.64x = 155.14 × 110.53
  4. Step 4: Simplify right side
    111.64x = 17,147.62
  5. Step 5: Solve for x
    x = 17,147.62/111.64
  6. Step 6: Final answer
    x = 153.60

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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.