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Finding the Fourth Proportional to 73.39, 110.08 and 27.75

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Solution

The fourth proportional to 73.39, 110.08 and 27.75 is: 41.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.39 : 110.08 = 27.75 : x
  2. Step 2: Convert to fraction form
    73.39/110.08 = 27.75/x
  3. Step 3: Cross multiply
    73.39x = 110.08 × 27.75
  4. Step 4: Simplify right side
    73.39x = 3,054.72
  5. Step 5: Solve for x
    x = 3,054.72/73.39
  6. Step 6: Final answer
    x = 41.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.