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Finding the Fourth Proportional to 111.45, 152.61 and 110.64

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Solution

The fourth proportional to 111.45, 152.61 and 110.64 is: 151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.45 : 152.61 = 110.64 : x
  2. Step 2: Convert to fraction form
    111.45/152.61 = 110.64/x
  3. Step 3: Cross multiply
    111.45x = 152.61 × 110.64
  4. Step 4: Simplify right side
    111.45x = 16,884.77
  5. Step 5: Solve for x
    x = 16,884.77/111.45
  6. Step 6: Final answer
    x = 151.50

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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.